What is GCF of 481 and 741?

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GCF of 481 and 741 is 13

How to find GCF of two numbers

Steps to find GCF of 481 and 741

Find all the numbers that would divide 481 and 741 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 481 and 741, and read off the answer!

Example: Find gcf of 481 and 741

Factors for 481: 1, 13, 37, 481
Factors for 741: 1, 3, 13, 19, 39, 57, 247, 741

Hence, GCf of 481 and 741 is 13

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 (481, 741).

Properties of GCF

The GCF of two or more given numbers is always less than the given numbers. Eg- GCF of 481 and 741 is 13, where 13 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, 13, 37, 481 are exact divisors of 481 and 1, 3, 13, 19, 39, 57, 247, 741 are exact divisors of 741.
Every number other than 1 has at least two factors, namely the number itself and 1.
Each number is a factor of itself. Eg. 481 and 741 are factors of themselves respectively.
1 is a factor of every number. Eg. 1 is a factor of 481 and also of 741.

Steps to find Factors of 481 and 741

Step 1. Find all the numbers that would divide 481 and 741 without leaving any remainder. Starting with the number 1 upto 240 (half of 481) and 1 upto 370 (half of 741). The number 1 and the number itself are always factors of the given number.

481 ÷ 1 : Remainder = 0

741 ÷ 1 : Remainder = 0

481 ÷ 13 : Remainder = 0

741 ÷ 3 : Remainder = 0

481 ÷ 37 : Remainder = 0

741 ÷ 13 : Remainder = 0

481 ÷ 481 : Remainder = 0

741 ÷ 19 : Remainder = 0

741 ÷ 39 : Remainder = 0

741 ÷ 57 : Remainder = 0

741 ÷ 247 : Remainder = 0

741 ÷ 741 : Remainder = 0

Hence, Factors of 481 are 1, 13, 37, and 481

And, Factors of 741 are 1, 3, 13, 19, 39, 57, 247, and 741

Examples of GCF

Sammy baked 481 chocolate cookies and 741 fruit and nut cookies to package in plastic containers for her friends at college. She wants to divide the cookies into identical boxes so that each box has the same number of each kind of cookies. She wishes that each box should have greatest number of cookies possible, how many plastic boxes does she need?

Since Sammy wants to pack greatest number of cookies possible. So for calculating total number of boxes required we need to calculate the GCF of 481 and 741.
GCF of 481 and 741 is 13.

A class has 481 boys and 741 girls. A choir teacher wants to form a choir team from this class such that the students are standing in equal rows also girls or boys will be in each row. Teacher wants to know the greatest number of students that could be in each row, can you help him?

To find the greatest number of students that could be in each row, we need to find the GCF of 481 and 741. Hence, GCF of 481 and 741 is 13.

What is the difference between GCF and LCM?

Major and simple difference betwen GCF and LCM is that GCF gives you the greatest common factor while LCM finds out the least common factor possible for the given numbers.

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

GCF and LCM of two numbers can be related as GCF(481, 741) = ( 481 * 741 ) / LCM(481, 741) = 13.

What is the GCF of 481 and 741?

GCF of 481 and 741 is 13.

Mary has 481 blue buttons and 741 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 481 and 741. Hence, the GCF of 481 and 741 or the greatest arrangement is 13.

Kamal is making identical balloon arrangements for a party. He has 481 maroon balloons, and 741 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 481 and 741. So the GCF of 481 and 741 is 13.

Kunal is making baskets full of nuts and dried fruits. He has 481 bags of nuts and 741 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 481 and 741. So the GCF of 481 and 741 is 13.

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 481 bus tickets and 741 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 481 and 741. Hence, GCF of 481 and 741 is 13.