What is GCF of 141 and 329?

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GCF of 141 and 329 is 47

How to find GCF of two numbers

Steps to find GCF of 141 and 329

Find all the numbers that would divide 141 and 329 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 141 and 329, and read off the answer!

Example: Find gcf of 141 and 329

Factors for 141: 1, 3, 47, 141
Factors for 329: 1, 7, 47, 329

Hence, GCf of 141 and 329 is 47

What is GCF of two numbers?

In mathematics GCF or also known as greatest common factor of two or more number is that one largest number which is a factor of those given numbers. It is represented as GCF (141, 329).

Properties of GCF

The GCF of two or more given numbers is always less than the given numbers. Eg- GCF of 141 and 329 is 47, where 47 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 without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

Properties of Factors

Every factor of a number is an exact divisor of that number, example 1, 3, 47, 141 are exact divisors of 141 and 1, 7, 47, 329 are exact divisors of 329.
Every number other than 1 has at least two factors, namely the number itself and 1.
Each number is a factor of itself. Eg. 141 and 329 are factors of themselves respectively.
1 is a factor of every number. Eg. 1 is a factor of 141 and also of 329.

Steps to find Factors of 141 and 329

Step 1. Find all the numbers that would divide 141 and 329 without leaving any remainder. Starting with the number 1 upto 70 (half of 141) and 1 upto 164 (half of 329). The number 1 and the number itself are always factors of the given number.

141 ÷ 1 : Remainder = 0

329 ÷ 1 : Remainder = 0

141 ÷ 3 : Remainder = 0

329 ÷ 7 : Remainder = 0

141 ÷ 47 : Remainder = 0

329 ÷ 47 : Remainder = 0

141 ÷ 141 : Remainder = 0

329 ÷ 329 : Remainder = 0

Hence, Factors of 141 are 1, 3, 47, and 141

And, Factors of 329 are 1, 7, 47, and 329

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(141, 329) = ( 141 * 329 ) / LCM(141, 329) = 47.

What is the GCF of 141 and 329?

GCF of 141 and 329 is 47.

Ram has 141 cans of Pepsi and 329 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 141 and 329. Hence GCF of 141 and 329 is 47. So the number of tables that can be arranged is 47.

Rubel is creating individual servings of starters for her birthday party. He has 141 pizzas and 329 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 141 and 329. Thus GCF of 141 and 329 is 47.

Ariel is making ready to eat meals to share with friends. She has 141 bottles of water and 329 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 141 and 329. So the GCF of 141 and 329 is 47.

Mary has 141 blue buttons and 329 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 141 and 329. Hence, the GCF of 141 and 329 or the greatest arrangement is 47.

Kamal is making identical balloon arrangements for a party. He has 141 maroon balloons, and 329 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 141 and 329. So the GCF of 141 and 329 is 47.

Kunal is making baskets full of nuts and dried fruits. He has 141 bags of nuts and 329 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 141 and 329. So the GCF of 141 and 329 is 47.

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 141 bus tickets and 329 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 141 and 329. Hence, GCF of 141 and 329 is 47.