Greatest Common Factor of 5708/77, 5870/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5708/77, 5870/518

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 5708/77,5870/518

Given fractions are 5708/77,5870/518

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 5708,5870

Greatest Common Factor of Numerators i.e. GCF of 5708,5870 is 2 .

LCM of Denominators means LCM of 77,518 as per the given fractions.

LCM of 77,518 is 5698 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5708,5870

GCF of Fractions 5708/77,5870/518 is 2/5698

2 5708, 5870
2854, 2935

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

Greatest Common Factor of 5708,5870 By Matching Biggest Common Factor Method

Greatest Common Factor of 5708,5870 By Matching Biggest Common Factor Method

Factors of 5708

List of positive integer factors of 5708 that divides 5708 without a remainder.

1,2,4,1427,2854,5708

Factors of 5870

List of positive integer factors of 5870 that divides 5870 without a remainder.

1,2,5,10,587,1174,2935,5870

Greatest Common Factor

We found the factors 5708,5870 . The biggest common factor number is the GCF number.
So the greatest common factor 5708,5870 is 2.

Lets's calculate LCM of 77,518

7 77, 518
11, 74

∴ So the LCM of the given numbers is 7 x 11 x 74 = 5698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5698

Therefore, the GCF of Fractions 5708/77,5870/518 is 2/5698

Least Common Multiple of 77,518 with GCF Formula

Least Common Multiple of 77,518 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 77,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,518) = 7

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

GCF(77,518) x common factors =7 x 1 = 7

LCM(77,518) = ( 77 × 518 ) / 7

LCM(77,518) = 39886 / 7

LCM(77,518) = 5698


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 5708/77, 5870/518

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 5708/77, 5870/518?

Answer: GCF of Numerators as per given numbers 5708/77, 5870/518 is

GCF of Numerators i.e. for 5708,5870 is 2

LCM of denominators i.e. for 77,518 is 5698.

Thus, GCF of Fractions is 2/5698.Finally, GCF of Fractions for 5708/77, 5870/518 is 2/5698.