Greatest Common Factor of 6860/872, 1018/7121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6860/872, 1018/7121

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 6860/872,1018/7121

Given fractions are 6860/872,1018/7121

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 6860,1018

Greatest Common Factor of Numerators i.e. GCF of 6860,1018 is 2 .

LCM of Denominators means LCM of 872,7121 as per the given fractions.

LCM of 872,7121 is 6209512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6860,1018

GCF of Fractions 6860/872,1018/7121 is 2/6209512

2 6860, 1018
3430, 509

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

Greatest Common Factor of 6860,1018 By Matching Biggest Common Factor Method

Greatest Common Factor of 6860,1018 By Matching Biggest Common Factor Method

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

Factors of 1018

List of positive integer factors of 1018 that divides 1018 without a remainder.

1,2,509,1018

Greatest Common Factor

We found the factors 6860,1018 . The biggest common factor number is the GCF number.
So the greatest common factor 6860,1018 is 2.

Lets's calculate LCM of 872,7121

Given numbers has no common factors except 1. So, there LCM is their product i.e 6209512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6209512

Therefore, the GCF of Fractions 6860/872,1018/7121 is 2/6209512

Least Common Multiple of 872,7121 with GCF Formula

Least Common Multiple of 872,7121 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 872,7121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,7121) = 1

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

GCF(872,7121) x common factors =1 x 1 = 1

LCM(872,7121) = ( 872 × 7121 ) / 1

LCM(872,7121) = 6209512 / 1

LCM(872,7121) = 6209512


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 6860/872, 1018/7121

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 6860/872, 1018/7121?

Answer: GCF of Numerators as per given numbers 6860/872, 1018/7121 is

GCF of Numerators i.e. for 6860,1018 is 2

LCM of denominators i.e. for 872,7121 is 6209512.

Thus, GCF of Fractions is 2/6209512.Finally, GCF of Fractions for 6860/872, 1018/7121 is 2/6209512.