Greatest Common Factor of 7102/53, 7754/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7102/53, 7754/509

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 7102/53,7754/509

Given fractions are 7102/53,7754/509

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 7102,7754

Greatest Common Factor of Numerators i.e. GCF of 7102,7754 is 2 .

LCM of Denominators means LCM of 53,509 as per the given fractions.

LCM of 53,509 is 26977 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7102,7754

GCF of Fractions 7102/53,7754/509 is 2/26977

2 7102, 7754
3551, 3877

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7102,7754 By Matching Biggest Common Factor Method

Greatest Common Factor of 7102,7754 By Matching Biggest Common Factor Method

Factors of 7102

List of positive integer factors of 7102 that divides 7102 without a remainder.

1,2,53,67,106,134,3551,7102

Factors of 7754

List of positive integer factors of 7754 that divides 7754 without a remainder.

1,2,3877,7754

Greatest Common Factor

We found the factors 7102,7754 . The biggest common factor number is the GCF number.
So the greatest common factor 7102,7754 is 2.

Lets's calculate LCM of 53,509

Given numbers has no common factors except 1. So, there LCM is their product i.e 26977

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26977

Therefore, the GCF of Fractions 7102/53,7754/509 is 2/26977

Least Common Multiple of 53,509 with GCF Formula

Least Common Multiple of 53,509 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 53,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,509) = 1

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

GCF(53,509) x common factors =1 x 1 = 1

LCM(53,509) = ( 53 × 509 ) / 1

LCM(53,509) = 26977 / 1

LCM(53,509) = 26977


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 7102/53, 7754/509

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 7102/53, 7754/509?

Answer: GCF of Numerators as per given numbers 7102/53, 7754/509 is

GCF of Numerators i.e. for 7102,7754 is 2

LCM of denominators i.e. for 53,509 is 26977.

Thus, GCF of Fractions is 2/26977.Finally, GCF of Fractions for 7102/53, 7754/509 is 2/26977.