Greatest Common Factor of 3024/204, 5126/7978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3024/204, 5126/7978

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 3024/204,5126/7978

Given fractions are 3024/204,5126/7978

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 3024,5126

Greatest Common Factor of Numerators i.e. GCF of 3024,5126 is 2 .

LCM of Denominators means LCM of 204,7978 as per the given fractions.

LCM of 204,7978 is 813756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3024,5126

GCF of Fractions 3024/204,5126/7978 is 2/813756

2 3024, 5126
1512, 2563

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

Greatest Common Factor of 3024,5126 By Matching Biggest Common Factor Method

Greatest Common Factor of 3024,5126 By Matching Biggest Common Factor Method

Factors of 3024

List of positive integer factors of 3024 that divides 3024 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,84,108,112,126,144,168,189,216,252,336,378,432,504,756,1008,1512,3024

Factors of 5126

List of positive integer factors of 5126 that divides 5126 without a remainder.

1,2,11,22,233,466,2563,5126

Greatest Common Factor

We found the factors 3024,5126 . The biggest common factor number is the GCF number.
So the greatest common factor 3024,5126 is 2.

Lets's calculate LCM of 204,7978

2 204, 7978
102, 3989

∴ So the LCM of the given numbers is 2 x 102 x 3989 = 813756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/813756

Therefore, the GCF of Fractions 3024/204,5126/7978 is 2/813756

Least Common Multiple of 204,7978 with GCF Formula

Least Common Multiple of 204,7978 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 204,7978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,7978) = 2

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

GCF(204,7978) x common factors =2 x 1 = 2

LCM(204,7978) = ( 204 × 7978 ) / 2

LCM(204,7978) = 1627512 / 2

LCM(204,7978) = 813756


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 3024/204, 5126/7978

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 3024/204, 5126/7978?

Answer: GCF of Numerators as per given numbers 3024/204, 5126/7978 is

GCF of Numerators i.e. for 3024,5126 is 2

LCM of denominators i.e. for 204,7978 is 813756.

Thus, GCF of Fractions is 2/813756.Finally, GCF of Fractions for 3024/204, 5126/7978 is 2/813756.