Greatest Common Factor of 757/67, 9084/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 757/67, 9084/560

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 757/67,9084/560

Given fractions are 757/67,9084/560

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 757,9084

Greatest Common Factor of Numerators i.e. GCF of 757,9084 is 757 .

LCM of Denominators means LCM of 67,560 as per the given fractions.

LCM of 67,560 is 37520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 757,9084

GCF of Fractions 757/67,9084/560 is 757/37520

757 757, 9084
1, 12

∴ So the GCF of the given numbers is 757 = 757

Greatest Common Factor of 757,9084 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,9084 By Matching Biggest Common Factor Method

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 9084

List of positive integer factors of 9084 that divides 9084 without a remainder.

1,2,3,4,6,12,757,1514,2271,3028,4542,9084

Greatest Common Factor

We found the factors 757,9084 . The biggest common factor number is the GCF number.
So the greatest common factor 757,9084 is 757.

Lets's calculate LCM of 67,560

Given numbers has no common factors except 1. So, there LCM is their product i.e 37520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 757/37520

Therefore, the GCF of Fractions 757/67,9084/560 is 757/37520

Least Common Multiple of 67,560 with GCF Formula

Least Common Multiple of 67,560 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 67,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,560) = 1

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

GCF(67,560) x common factors =1 x 1 = 1

LCM(67,560) = ( 67 × 560 ) / 1

LCM(67,560) = 37520 / 1

LCM(67,560) = 37520


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 757/67, 9084/560

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 757/67, 9084/560?

Answer: GCF of Numerators as per given numbers 757/67, 9084/560 is

GCF of Numerators i.e. for 757,9084 is 757

LCM of denominators i.e. for 67,560 is 37520.

Thus, GCF of Fractions is 757/37520.Finally, GCF of Fractions for 757/67, 9084/560 is 757/37520.