Greatest Common Factor of 6975/59, 6860/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6975/59, 6860/516

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 6975/59,6860/516

Given fractions are 6975/59,6860/516

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 6975,6860

Greatest Common Factor of Numerators i.e. GCF of 6975,6860 is 5 .

LCM of Denominators means LCM of 59,516 as per the given fractions.

LCM of 59,516 is 30444 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6975,6860

GCF of Fractions 6975/59,6860/516 is 5/30444

5 6975, 6860
1395, 1372

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6975,6860 By Matching Biggest Common Factor Method

Greatest Common Factor of 6975,6860 By Matching Biggest Common Factor Method

Factors of 6975

List of positive integer factors of 6975 that divides 6975 without a remainder.

1,3,5,9,15,25,31,45,75,93,155,225,279,465,775,1395,2325,6975

Factors of 6860

List of positive integer factors of 6860 that divides 6860 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,343,490,686,980,1372,1715,3430,6860

Greatest Common Factor

We found the factors 6975,6860 . The biggest common factor number is the GCF number.
So the greatest common factor 6975,6860 is 5.

Lets's calculate LCM of 59,516

Given numbers has no common factors except 1. So, there LCM is their product i.e 30444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/30444

Therefore, the GCF of Fractions 6975/59,6860/516 is 5/30444

Least Common Multiple of 59,516 with GCF Formula

Least Common Multiple of 59,516 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 59,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,516) = 1

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

GCF(59,516) x common factors =1 x 1 = 1

LCM(59,516) = ( 59 × 516 ) / 1

LCM(59,516) = 30444 / 1

LCM(59,516) = 30444


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 6975/59, 6860/516

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 6975/59, 6860/516?

Answer: GCF of Numerators as per given numbers 6975/59, 6860/516 is

GCF of Numerators i.e. for 6975,6860 is 5

LCM of denominators i.e. for 59,516 is 30444.

Thus, GCF of Fractions is 5/30444.Finally, GCF of Fractions for 6975/59, 6860/516 is 5/30444.