Greatest Common Factor of 7753/134, 8685/2056

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7753/134, 8685/2056

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 7753/134,8685/2056

Given fractions are 7753/134,8685/2056

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 7753,8685

Greatest Common Factor of Numerators i.e. GCF of 7753,8685 is 1 .

LCM of Denominators means LCM of 134,2056 as per the given fractions.

LCM of 134,2056 is 137752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7753,8685

GCF of Fractions 7753/134,8685/2056 is 1/137752

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

Greatest Common Factor of 7753,8685 By Matching Biggest Common Factor Method

Greatest Common Factor of 7753,8685 By Matching Biggest Common Factor Method

Factors of 7753

List of positive integer factors of 7753 that divides 7753 without a remainder.

1,7753

Factors of 8685

List of positive integer factors of 8685 that divides 8685 without a remainder.

1,3,5,9,15,45,193,579,965,1737,2895,8685

Greatest Common Factor

We found the factors 7753,8685 . The biggest common factor number is the GCF number.
So the greatest common factor 7753,8685 is 1.

Lets's calculate LCM of 134,2056

2 134, 2056
67, 1028

∴ So the LCM of the given numbers is 2 x 67 x 1028 = 137752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/137752

Therefore, the GCF of Fractions 7753/134,8685/2056 is 1/137752

Least Common Multiple of 134,2056 with GCF Formula

Least Common Multiple of 134,2056 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 134,2056 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(134,2056) = 2

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

GCF(134,2056) x common factors =2 x 1 = 2

LCM(134,2056) = ( 134 × 2056 ) / 2

LCM(134,2056) = 275504 / 2

LCM(134,2056) = 137752


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 7753/134, 8685/2056

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 7753/134, 8685/2056?

Answer: GCF of Numerators as per given numbers 7753/134, 8685/2056 is

GCF of Numerators i.e. for 7753,8685 is 1

LCM of denominators i.e. for 134,2056 is 137752.

Thus, GCF of Fractions is 1/137752.Finally, GCF of Fractions for 7753/134, 8685/2056 is 1/137752.