Greatest Common Factor of 851/638, 651/768, 179/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 851/638, 651/768, 179/626

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 851/638,651/768,179/626

Given fractions are 851/638,651/768,179/626

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 851,651,179

Greatest Common Factor of Numerators i.e. GCF of 851,651,179 is 1 .

LCM of Denominators means LCM of 638,768,626 as per the given fractions.

LCM of 638,768,626 is 76682496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 851,651,179

GCF of Fractions 851/638,651/768,179/626 is 1/76682496

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

Greatest Common Factor of 851,651,179 By Matching Biggest Common Factor Method

Greatest Common Factor of 851,651,179 By Matching Biggest Common Factor Method

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Greatest Common Factor

We found the factors 851,651,179 . The biggest common factor number is the GCF number.
So the greatest common factor 851,651,179 is 1.

Lets's calculate LCM of 638,768,626

2 638, 768, 626
319, 384, 313

∴ So the LCM of the given numbers is 2 x 319 x 384 x 313 = 76682496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76682496

Therefore, the GCF of Fractions 851/638,651/768,179/626 is 1/76682496

Least Common Multiple of 638,768,626 with GCF Formula

Least Common Multiple of 638,768,626 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 638,768,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,768,626) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(638,768,626) x common factors =2 x 2 = 4

LCM(638,768,626) = ( 638 × 768 × 626 ) / 4

LCM(638,768,626) = 306729984 / 4

LCM(638,768,626) = 76682496


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 851/638, 651/768, 179/626

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 851/638, 651/768, 179/626?

Answer: GCF of Numerators as per given numbers 851/638, 651/768, 179/626 is

GCF of Numerators i.e. for 851,651,179 is 1

LCM of denominators i.e. for 638,768,626 is 76682496.

Thus, GCF of Fractions is 1/76682496.Finally, GCF of Fractions for 851/638, 651/768, 179/626 is 1/76682496.