Greatest Common Factor of 627/102, 849/752, 645/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 627/102, 849/752, 645/524

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 627/102,849/752,645/524

Given fractions are 627/102,849/752,645/524

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 627,849,645

Greatest Common Factor of Numerators i.e. GCF of 627,849,645 is 3 .

LCM of Denominators means LCM of 102,752,524 as per the given fractions.

LCM of 102,752,524 is 5024112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 627,849,645

GCF of Fractions 627/102,849/752,645/524 is 3/5024112

3 627, 849, 645
209, 283, 215

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 627,849,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 627,849,645 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 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 627,849,645 . The biggest common factor number is the GCF number.
So the greatest common factor 627,849,645 is 3.

Lets's calculate LCM of 102,752,524

2 102, 752, 524
2 51, 376, 262
51, 188, 131

∴ So the LCM of the given numbers is 2 x 2 x 51 x 188 x 131 = 5024112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5024112

Therefore, the GCF of Fractions 627/102,849/752,645/524 is 3/5024112

Least Common Multiple of 102,752,524 with GCF Formula

Least Common Multiple of 102,752,524 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 102,752,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,752,524) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(102,752,524) x common factors =2 x 4 = 8

LCM(102,752,524) = ( 102 × 752 × 524 ) / 8

LCM(102,752,524) = 40192896 / 8

LCM(102,752,524) = 5024112


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 627/102, 849/752, 645/524

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 627/102, 849/752, 645/524?

Answer: GCF of Numerators as per given numbers 627/102, 849/752, 645/524 is

GCF of Numerators i.e. for 627,849,645 is 3

LCM of denominators i.e. for 102,752,524 is 5024112.

Thus, GCF of Fractions is 3/5024112.Finally, GCF of Fractions for 627/102, 849/752, 645/524 is 3/5024112.