Greatest Common Factor of 9656/357, 5743/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9656/357, 5743/664

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 9656/357,5743/664

Given fractions are 9656/357,5743/664

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 9656,5743

Greatest Common Factor of Numerators i.e. GCF of 9656,5743 is 1 .

LCM of Denominators means LCM of 357,664 as per the given fractions.

LCM of 357,664 is 237048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9656,5743

GCF of Fractions 9656/357,5743/664 is 1/237048

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9656,5743 By Matching Biggest Common Factor Method

Greatest Common Factor of 9656,5743 By Matching Biggest Common Factor Method

Factors of 9656

List of positive integer factors of 9656 that divides 9656 without a remainder.

1,2,4,8,17,34,68,71,136,142,284,568,1207,2414,4828,9656

Factors of 5743

List of positive integer factors of 5743 that divides 5743 without a remainder.

1,5743

Greatest Common Factor

We found the factors 9656,5743 . The biggest common factor number is the GCF number.
So the greatest common factor 9656,5743 is 1.

Lets's calculate LCM of 357,664

Given numbers has no common factors except 1. So, there LCM is their product i.e 237048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237048

Therefore, the GCF of Fractions 9656/357,5743/664 is 1/237048

Least Common Multiple of 357,664 with GCF Formula

Least Common Multiple of 357,664 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 357,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,664) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(357,664) x common factors =1 x 1 = 1

LCM(357,664) = ( 357 × 664 ) / 1

LCM(357,664) = 237048 / 1

LCM(357,664) = 237048


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9656/357, 5743/664

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 9656/357, 5743/664?

Answer: GCF of Numerators as per given numbers 9656/357, 5743/664 is

GCF of Numerators i.e. for 9656,5743 is 1

LCM of denominators i.e. for 357,664 is 237048.

Thus, GCF of Fractions is 1/237048.Finally, GCF of Fractions for 9656/357, 5743/664 is 1/237048.