Greatest Common Factor of 7242/412, 6840/7685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7242/412, 6840/7685

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 7242/412,6840/7685

Given fractions are 7242/412,6840/7685

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 7242,6840

Greatest Common Factor of Numerators i.e. GCF of 7242,6840 is 6 .

LCM of Denominators means LCM of 412,7685 as per the given fractions.

LCM of 412,7685 is 3166220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7242,6840

GCF of Fractions 7242/412,6840/7685 is 6/3166220

2 7242, 6840
3 3621, 3420
1207, 1140

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 7242,6840 By Matching Biggest Common Factor Method

Greatest Common Factor of 7242,6840 By Matching Biggest Common Factor Method

Factors of 7242

List of positive integer factors of 7242 that divides 7242 without a remainder.

1,2,3,6,17,34,51,71,102,142,213,426,1207,2414,3621,7242

Factors of 6840

List of positive integer factors of 6840 that divides 6840 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,19,20,24,30,36,38,40,45,57,60,72,76,90,95,114,120,152,171,180,190,228,285,342,360,380,456,570,684,760,855,1140,1368,1710,2280,3420,6840

Greatest Common Factor

We found the factors 7242,6840 . The biggest common factor number is the GCF number.
So the greatest common factor 7242,6840 is 6.

Lets's calculate LCM of 412,7685

Given numbers has no common factors except 1. So, there LCM is their product i.e 3166220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3166220

Therefore, the GCF of Fractions 7242/412,6840/7685 is 6/3166220

Least Common Multiple of 412,7685 with GCF Formula

Least Common Multiple of 412,7685 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 412,7685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,7685) = 1

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

GCF(412,7685) x common factors =1 x 1 = 1

LCM(412,7685) = ( 412 × 7685 ) / 1

LCM(412,7685) = 3166220 / 1

LCM(412,7685) = 3166220


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 7242/412, 6840/7685

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 7242/412, 6840/7685?

Answer: GCF of Numerators as per given numbers 7242/412, 6840/7685 is

GCF of Numerators i.e. for 7242,6840 is 6

LCM of denominators i.e. for 412,7685 is 3166220.

Thus, GCF of Fractions is 6/3166220.Finally, GCF of Fractions for 7242/412, 6840/7685 is 6/3166220.