Greatest Common Factor of 766/664, 909/252, 424/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 766/664, 909/252, 424/787

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 766/664,909/252,424/787

Given fractions are 766/664,909/252,424/787

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 766,909,424

Greatest Common Factor of Numerators i.e. GCF of 766,909,424 is 1 .

LCM of Denominators means LCM of 664,252,787 as per the given fractions.

LCM of 664,252,787 is 32921784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 766,909,424

GCF of Fractions 766/664,909/252,424/787 is 1/32921784

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

Greatest Common Factor of 766,909,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,909,424 By Matching Biggest Common Factor Method

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 766,909,424 . The biggest common factor number is the GCF number.
So the greatest common factor 766,909,424 is 1.

Lets's calculate LCM of 664,252,787

2 664, 252, 787
2 332, 126, 787
166, 63, 787

∴ So the LCM of the given numbers is 2 x 2 x 166 x 63 x 787 = 32921784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32921784

Therefore, the GCF of Fractions 766/664,909/252,424/787 is 1/32921784

Least Common Multiple of 664,252,787 with GCF Formula

Least Common Multiple of 664,252,787 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 664,252,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,252,787) = 1

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

GCF(664,252,787) x common factors =1 x 4 = 4

LCM(664,252,787) = ( 664 × 252 × 787 ) / 4

LCM(664,252,787) = 131687136 / 4

LCM(664,252,787) = 32921784


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 766/664, 909/252, 424/787

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 766/664, 909/252, 424/787?

Answer: GCF of Numerators as per given numbers 766/664, 909/252, 424/787 is

GCF of Numerators i.e. for 766,909,424 is 1

LCM of denominators i.e. for 664,252,787 is 32921784.

Thus, GCF of Fractions is 1/32921784.Finally, GCF of Fractions for 766/664, 909/252, 424/787 is 1/32921784.