Greatest Common Factor of 1012/414, 6124/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1012/414, 6124/744

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 1012/414,6124/744

Given fractions are 1012/414,6124/744

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 1012,6124

Greatest Common Factor of Numerators i.e. GCF of 1012,6124 is 4 .

LCM of Denominators means LCM of 414,744 as per the given fractions.

LCM of 414,744 is 51336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1012,6124

GCF of Fractions 1012/414,6124/744 is 4/51336

2 1012, 6124
2 506, 3062
253, 1531

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1012,6124 By Matching Biggest Common Factor Method

Greatest Common Factor of 1012,6124 By Matching Biggest Common Factor Method

Factors of 1012

List of positive integer factors of 1012 that divides 1012 without a remainder.

1,2,4,11,22,23,44,46,92,253,506,1012

Factors of 6124

List of positive integer factors of 6124 that divides 6124 without a remainder.

1,2,4,1531,3062,6124

Greatest Common Factor

We found the factors 1012,6124 . The biggest common factor number is the GCF number.
So the greatest common factor 1012,6124 is 4.

Lets's calculate LCM of 414,744

2 414, 744
3 207, 372
69, 124

∴ So the LCM of the given numbers is 2 x 3 x 69 x 124 = 51336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/51336

Therefore, the GCF of Fractions 1012/414,6124/744 is 4/51336

Least Common Multiple of 414,744 with GCF Formula

Least Common Multiple of 414,744 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 414,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,744) = 6

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

GCF(414,744) x common factors =6 x 1 = 6

LCM(414,744) = ( 414 × 744 ) / 6

LCM(414,744) = 308016 / 6

LCM(414,744) = 51336


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 1012/414, 6124/744

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 1012/414, 6124/744?

Answer: GCF of Numerators as per given numbers 1012/414, 6124/744 is

GCF of Numerators i.e. for 1012,6124 is 4

LCM of denominators i.e. for 414,744 is 51336.

Thus, GCF of Fractions is 4/51336.Finally, GCF of Fractions for 1012/414, 6124/744 is 4/51336.