Greatest Common Factor of 627/25, 7975/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 627/25, 7975/258

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 627/25,7975/258

Given fractions are 627/25,7975/258

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 627,7975

Greatest Common Factor of Numerators i.e. GCF of 627,7975 is 11 .

LCM of Denominators means LCM of 25,258 as per the given fractions.

LCM of 25,258 is 6450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 627,7975

GCF of Fractions 627/25,7975/258 is 11/6450

11 627, 7975
57, 725

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 627,7975 By Matching Biggest Common Factor Method

Greatest Common Factor of 627,7975 By Matching Biggest Common Factor Method

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 7975

List of positive integer factors of 7975 that divides 7975 without a remainder.

1,5,11,25,29,55,145,275,319,725,1595,7975

Greatest Common Factor

We found the factors 627,7975 . The biggest common factor number is the GCF number.
So the greatest common factor 627,7975 is 11.

Lets's calculate LCM of 25,258

Given numbers has no common factors except 1. So, there LCM is their product i.e 6450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/6450

Therefore, the GCF of Fractions 627/25,7975/258 is 11/6450

Least Common Multiple of 25,258 with GCF Formula

Least Common Multiple of 25,258 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 25,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,258) = 1

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

GCF(25,258) x common factors =1 x 1 = 1

LCM(25,258) = ( 25 × 258 ) / 1

LCM(25,258) = 6450 / 1

LCM(25,258) = 6450


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 627/25, 7975/258

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 627/25, 7975/258?

Answer: GCF of Numerators as per given numbers 627/25, 7975/258 is

GCF of Numerators i.e. for 627,7975 is 11

LCM of denominators i.e. for 25,258 is 6450.

Thus, GCF of Fractions is 11/6450.Finally, GCF of Fractions for 627/25, 7975/258 is 11/6450.