Greatest Common Factor of 786/26, 363/30, 264/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 786/26, 363/30, 264/676

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 786/26,363/30,264/676

Given fractions are 786/26,363/30,264/676

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 786,363,264

Greatest Common Factor of Numerators i.e. GCF of 786,363,264 is 3 .

LCM of Denominators means LCM of 26,30,676 as per the given fractions.

LCM of 26,30,676 is 10140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 786,363,264

GCF of Fractions 786/26,363/30,264/676 is 3/10140

3 786, 363, 264
262, 121, 88

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

Greatest Common Factor of 786,363,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,363,264 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 786,363,264 . The biggest common factor number is the GCF number.
So the greatest common factor 786,363,264 is 3.

Lets's calculate LCM of 26,30,676

2 26, 30, 676
13 13, 15, 338
1, 15, 26

∴ So the LCM of the given numbers is 2 x 13 x 1 x 15 x 26 = 10140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10140

Therefore, the GCF of Fractions 786/26,363/30,264/676 is 3/10140

Least Common Multiple of 26,30,676 with GCF Formula

Least Common Multiple of 26,30,676 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 26,30,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,30,676) = 2

common factors(in case of two or more numbers have common factors) = 26

GCF(26,30,676) x common factors =2 x 26 = 52

LCM(26,30,676) = ( 26 × 30 × 676 ) / 52

LCM(26,30,676) = 527280 / 52

LCM(26,30,676) = 10140


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 786/26, 363/30, 264/676

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 786/26, 363/30, 264/676?

Answer: GCF of Numerators as per given numbers 786/26, 363/30, 264/676 is

GCF of Numerators i.e. for 786,363,264 is 3

LCM of denominators i.e. for 26,30,676 is 10140.

Thus, GCF of Fractions is 3/10140.Finally, GCF of Fractions for 786/26, 363/30, 264/676 is 3/10140.