Greatest Common Factor of 7652/648, 5374/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7652/648, 5374/958

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 7652/648,5374/958

Given fractions are 7652/648,5374/958

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 7652,5374

Greatest Common Factor of Numerators i.e. GCF of 7652,5374 is 2 .

LCM of Denominators means LCM of 648,958 as per the given fractions.

LCM of 648,958 is 310392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7652,5374

GCF of Fractions 7652/648,5374/958 is 2/310392

2 7652, 5374
3826, 2687

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

Greatest Common Factor of 7652,5374 By Matching Biggest Common Factor Method

Greatest Common Factor of 7652,5374 By Matching Biggest Common Factor Method

Factors of 7652

List of positive integer factors of 7652 that divides 7652 without a remainder.

1,2,4,1913,3826,7652

Factors of 5374

List of positive integer factors of 5374 that divides 5374 without a remainder.

1,2,2687,5374

Greatest Common Factor

We found the factors 7652,5374 . The biggest common factor number is the GCF number.
So the greatest common factor 7652,5374 is 2.

Lets's calculate LCM of 648,958

2 648, 958
324, 479

∴ So the LCM of the given numbers is 2 x 324 x 479 = 310392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/310392

Therefore, the GCF of Fractions 7652/648,5374/958 is 2/310392

Least Common Multiple of 648,958 with GCF Formula

Least Common Multiple of 648,958 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 648,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,958) = 2

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

GCF(648,958) x common factors =2 x 1 = 2

LCM(648,958) = ( 648 × 958 ) / 2

LCM(648,958) = 620784 / 2

LCM(648,958) = 310392


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 7652/648, 5374/958

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 7652/648, 5374/958?

Answer: GCF of Numerators as per given numbers 7652/648, 5374/958 is

GCF of Numerators i.e. for 7652,5374 is 2

LCM of denominators i.e. for 648,958 is 310392.

Thus, GCF of Fractions is 2/310392.Finally, GCF of Fractions for 7652/648, 5374/958 is 2/310392.