Greatest Common Factor of 7020/122, 5367/6867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7020/122, 5367/6867

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 7020/122,5367/6867

Given fractions are 7020/122,5367/6867

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 7020,5367

Greatest Common Factor of Numerators i.e. GCF of 7020,5367 is 3 .

LCM of Denominators means LCM of 122,6867 as per the given fractions.

LCM of 122,6867 is 837774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7020,5367

GCF of Fractions 7020/122,5367/6867 is 3/837774

3 7020, 5367
2340, 1789

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7020,5367 By Matching Biggest Common Factor Method

Greatest Common Factor of 7020,5367 By Matching Biggest Common Factor Method

Factors of 7020

List of positive integer factors of 7020 that divides 7020 without a remainder.

1,2,3,4,5,6,9,10,12,13,15,18,20,26,27,30,36,39,45,52,54,60,65,78,90,108,117,130,135,156,180,195,234,260,270,351,390,468,540,585,702,780,1170,1404,1755,2340,3510,7020

Factors of 5367

List of positive integer factors of 5367 that divides 5367 without a remainder.

1,3,1789,5367

Greatest Common Factor

We found the factors 7020,5367 . The biggest common factor number is the GCF number.
So the greatest common factor 7020,5367 is 3.

Lets's calculate LCM of 122,6867

Given numbers has no common factors except 1. So, there LCM is their product i.e 837774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/837774

Therefore, the GCF of Fractions 7020/122,5367/6867 is 3/837774

Least Common Multiple of 122,6867 with GCF Formula

Least Common Multiple of 122,6867 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 122,6867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,6867) = 1

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

GCF(122,6867) x common factors =1 x 1 = 1

LCM(122,6867) = ( 122 × 6867 ) / 1

LCM(122,6867) = 837774 / 1

LCM(122,6867) = 837774


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 7020/122, 5367/6867

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 7020/122, 5367/6867?

Answer: GCF of Numerators as per given numbers 7020/122, 5367/6867 is

GCF of Numerators i.e. for 7020,5367 is 3

LCM of denominators i.e. for 122,6867 is 837774.

Thus, GCF of Fractions is 3/837774.Finally, GCF of Fractions for 7020/122, 5367/6867 is 3/837774.