Greatest Common Factor of 640/429, 627/260, 806/681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 640/429, 627/260, 806/681

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 640/429,627/260,806/681

Given fractions are 640/429,627/260,806/681

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 640,627,806

Greatest Common Factor of Numerators i.e. GCF of 640,627,806 is 1 .

LCM of Denominators means LCM of 429,260,681 as per the given fractions.

LCM of 429,260,681 is 1947660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 640,627,806

GCF of Fractions 640/429,627/260,806/681 is 1/1947660

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 640,627,806 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,627,806 By Matching Biggest Common Factor Method

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

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 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Greatest Common Factor

We found the factors 640,627,806 . The biggest common factor number is the GCF number.
So the greatest common factor 640,627,806 is 1.

Lets's calculate LCM of 429,260,681

3 429, 260, 681
13 143, 260, 227
11, 20, 227

∴ So the LCM of the given numbers is 3 x 13 x 11 x 20 x 227 = 1947660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1947660

Therefore, the GCF of Fractions 640/429,627/260,806/681 is 1/1947660

Least Common Multiple of 429,260,681 with GCF Formula

Least Common Multiple of 429,260,681 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 429,260,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,260,681) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(429,260,681) x common factors =1 x 39 = 39

LCM(429,260,681) = ( 429 × 260 × 681 ) / 39

LCM(429,260,681) = 75958740 / 39

LCM(429,260,681) = 1947660


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 640/429, 627/260, 806/681

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 640/429, 627/260, 806/681?

Answer: GCF of Numerators as per given numbers 640/429, 627/260, 806/681 is

GCF of Numerators i.e. for 640,627,806 is 1

LCM of denominators i.e. for 429,260,681 is 1947660.

Thus, GCF of Fractions is 1/1947660.Finally, GCF of Fractions for 640/429, 627/260, 806/681 is 1/1947660.