Greatest Common Factor of 564/768, 851/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 564/768, 851/772

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 564/768,851/772

Given fractions are 564/768,851/772

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 564,851

Greatest Common Factor of Numerators i.e. GCF of 564,851 is 1 .

LCM of Denominators means LCM of 768,772 as per the given fractions.

LCM of 768,772 is 148224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 564,851

GCF of Fractions 564/768,851/772 is 1/148224

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

Greatest Common Factor of 564,851 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,851 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 851

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

1,23,37,851

Greatest Common Factor

We found the factors 564,851 . The biggest common factor number is the GCF number.
So the greatest common factor 564,851 is 1.

Lets's calculate LCM of 768,772

2 768, 772
2 384, 386
192, 193

∴ So the LCM of the given numbers is 2 x 2 x 192 x 193 = 148224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148224

Therefore, the GCF of Fractions 564/768,851/772 is 1/148224

Least Common Multiple of 768,772 with GCF Formula

Least Common Multiple of 768,772 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 768,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,772) = 4

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

GCF(768,772) x common factors =4 x 1 = 4

LCM(768,772) = ( 768 × 772 ) / 4

LCM(768,772) = 592896 / 4

LCM(768,772) = 148224


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 564/768, 851/772

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 564/768, 851/772?

Answer: GCF of Numerators as per given numbers 564/768, 851/772 is

GCF of Numerators i.e. for 564,851 is 1

LCM of denominators i.e. for 768,772 is 148224.

Thus, GCF of Fractions is 1/148224.Finally, GCF of Fractions for 564/768, 851/772 is 1/148224.