Greatest Common Factor of 7578/154, 7124/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7578/154, 7124/628

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 7578/154,7124/628

Given fractions are 7578/154,7124/628

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 7578,7124

Greatest Common Factor of Numerators i.e. GCF of 7578,7124 is 2 .

LCM of Denominators means LCM of 154,628 as per the given fractions.

LCM of 154,628 is 48356 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7578,7124

GCF of Fractions 7578/154,7124/628 is 2/48356

2 7578, 7124
3789, 3562

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

Greatest Common Factor of 7578,7124 By Matching Biggest Common Factor Method

Greatest Common Factor of 7578,7124 By Matching Biggest Common Factor Method

Factors of 7578

List of positive integer factors of 7578 that divides 7578 without a remainder.

1,2,3,6,9,18,421,842,1263,2526,3789,7578

Factors of 7124

List of positive integer factors of 7124 that divides 7124 without a remainder.

1,2,4,13,26,52,137,274,548,1781,3562,7124

Greatest Common Factor

We found the factors 7578,7124 . The biggest common factor number is the GCF number.
So the greatest common factor 7578,7124 is 2.

Lets's calculate LCM of 154,628

2 154, 628
77, 314

∴ So the LCM of the given numbers is 2 x 77 x 314 = 48356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/48356

Therefore, the GCF of Fractions 7578/154,7124/628 is 2/48356

Least Common Multiple of 154,628 with GCF Formula

Least Common Multiple of 154,628 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 154,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,628) = 2

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

GCF(154,628) x common factors =2 x 1 = 2

LCM(154,628) = ( 154 × 628 ) / 2

LCM(154,628) = 96712 / 2

LCM(154,628) = 48356


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 7578/154, 7124/628

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 7578/154, 7124/628?

Answer: GCF of Numerators as per given numbers 7578/154, 7124/628 is

GCF of Numerators i.e. for 7578,7124 is 2

LCM of denominators i.e. for 154,628 is 48356.

Thus, GCF of Fractions is 2/48356.Finally, GCF of Fractions for 7578/154, 7124/628 is 2/48356.