What is GCF of 429 and 715?

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GCF of 429 and 715 is 143

How to find GCF of two numbers

Steps to find GCF of 429 and 715

Find all the numbers that would divide 429 and 715 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 429 and 715, and read off the answer!

Example: Find gcf of 429 and 715

Factors for 429: 1, 3, 11, 13, 33, 39, 143, 429
Factors for 715: 1, 5, 11, 13, 55, 65, 143, 715

Hence, GCf of 429 and 715 is 143

How do you explain GCF in mathematics?

GCF or greatest common factor of two or more numbers is defined as largest possible number or integer which is the factor of all given number or in other words we can say that largest possible common number which completely divides the given numbers. GCF of two numbers can be represented as GCF (429, 715).

Properties of GCF

The GCF of two or more given numbers is always less than the given numbers. Eg- GCF of 429 and 715 is 143, where 143 is less than both the numbers.
If the given numbers are consecutive than GCF is always 1.
Product of two numbers is always equal to the product of their GCF and LCM.
The GCF of two given numbers where one of them is a prime number is either 1 or the number itself.

How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

Properties of Factors

Every factor of a number is an exact divisor of that number, example 1, 3, 11, 13, 33, 39, 143, 429 are exact divisors of 429 and 1, 5, 11, 13, 55, 65, 143, 715 are exact divisors of 715.
Every number other than 1 has at least two factors, namely the number itself and 1.
Each number is a factor of itself. Eg. 429 and 715 are factors of themselves respectively.
1 is a factor of every number. Eg. 1 is a factor of 429 and also of 715.

Steps to find Factors of 429 and 715

Step 1. Find all the numbers that would divide 429 and 715 without leaving any remainder. Starting with the number 1 upto 214 (half of 429) and 1 upto 357 (half of 715). The number 1 and the number itself are always factors of the given number.

429 ÷ 1 : Remainder = 0

715 ÷ 1 : Remainder = 0

429 ÷ 3 : Remainder = 0

715 ÷ 5 : Remainder = 0

429 ÷ 11 : Remainder = 0

715 ÷ 11 : Remainder = 0

429 ÷ 13 : Remainder = 0

715 ÷ 13 : Remainder = 0

429 ÷ 33 : Remainder = 0

715 ÷ 55 : Remainder = 0

429 ÷ 39 : Remainder = 0

715 ÷ 65 : Remainder = 0

429 ÷ 143 : Remainder = 0

715 ÷ 143 : Remainder = 0

429 ÷ 429 : Remainder = 0

715 ÷ 715 : Remainder = 0

Hence, Factors of 429 are 1, 3, 11, 13, 33, 39, 143, and 429

And, Factors of 715 are 1, 5, 11, 13, 55, 65, 143, and 715

Examples of GCF

What is the relation between LCM and GCF (Greatest Common Factor)?

GCF and LCM of two numbers can be related as GCF(429, 715) = ( 429 * 715 ) / LCM(429, 715) = 143.

What is the GCF of 429 and 715?

GCF of 429 and 715 is 143.

Ram has 429 cans of Pepsi and 715 cans of Coca Cola. He wants to create identical refreshment tables that will be organized in his house warming party. He also doesn't want to have any can left over. What is the greatest number of tables that Ram can arrange?

To find the greatest number of tables that Ram can stock we need to find the GCF of 429 and 715. Hence GCF of 429 and 715 is 143. So the number of tables that can be arranged is 143.

Rubel is creating individual servings of starters for her birthday party. He has 429 pizzas and 715 hamburgers. He wants each serving to be identical, with no left overs. Can you help Rubel in arranging the same in greatest possible way?

The greatest number of servings Rubel can create would be equal to the GCF of 429 and 715. Thus GCF of 429 and 715 is 143.

Ariel is making ready to eat meals to share with friends. She has 429 bottles of water and 715 cans of food, which she would like to distribute equally, with no left overs. What is the greatest number of boxes Ariel can make?

The greatest number of boxes Ariel can make would be equal to GCF of 429 and 715. So the GCF of 429 and 715 is 143.

Mary has 429 blue buttons and 715 white buttons. She wants to place them in identical groups without any buttons left, in the greatest way possible. Can you help Mary arranging them in groups?

Greatest possible way in which Mary can arrange them in groups would be GCF of 429 and 715. Hence, the GCF of 429 and 715 or the greatest arrangement is 143.

Kamal is making identical balloon arrangements for a party. He has 429 maroon balloons, and 715 orange balloons. He wants each arrangement tohave the same number of each color. What is the greatest number of arrangements that he can make if every balloon is used?

The greatest number of arrangements that he can make if every balloon is used would be equal to GCF of 429 and 715. So the GCF of 429 and 715 is 143.

Kunal is making baskets full of nuts and dried fruits. He has 429 bags of nuts and 715 bags of dried fruits. He wants each basket to be identical, containing the same combination of bags of nuts and bags of driesn fruits, with no left overs. What is the greatest number of baskets that Kunal can make?

the greatest number of baskets that Kunal can make would be equal to GCF of 429 and 715. So the GCF of 429 and 715 is 143.

To energize public transportation, Abir needs to give a few companions envelopes with transport tickets, and metro tickets in them. On the off chance that he has 429 bus tickets and 715 metro tickets to be parted similarly among the envelopes, and he need no tickets left. What is the greatest number of envelopes Abir can make?

To make the greatest number of envelopes Abir needs to find out the GCF of 429 and 715. Hence, GCF of 429 and 715 is 143.