Greatest Common Factor of 63/680, 292/279, 791/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 63/680, 292/279, 791/567

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 63/680,292/279,791/567

Given fractions are 63/680,292/279,791/567

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 63,292,791

Greatest Common Factor of Numerators i.e. GCF of 63,292,791 is 1 .

LCM of Denominators means LCM of 680,279,567 as per the given fractions.

LCM of 680,279,567 is 11952360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 63,292,791

GCF of Fractions 63/680,292/279,791/567 is 1/11952360

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

Greatest Common Factor of 63,292,791 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,292,791 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Greatest Common Factor

We found the factors 63,292,791 . The biggest common factor number is the GCF number.
So the greatest common factor 63,292,791 is 1.

Lets's calculate LCM of 680,279,567

3 680, 279, 567
3 680, 93, 189
680, 31, 63

∴ So the LCM of the given numbers is 3 x 3 x 680 x 31 x 63 = 11952360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11952360

Therefore, the GCF of Fractions 63/680,292/279,791/567 is 1/11952360

Least Common Multiple of 680,279,567 with GCF Formula

Least Common Multiple of 680,279,567 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 680,279,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,279,567) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(680,279,567) x common factors =1 x 9 = 9

LCM(680,279,567) = ( 680 × 279 × 567 ) / 9

LCM(680,279,567) = 107571240 / 9

LCM(680,279,567) = 11952360


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 63/680, 292/279, 791/567

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 63/680, 292/279, 791/567?

Answer: GCF of Numerators as per given numbers 63/680, 292/279, 791/567 is

GCF of Numerators i.e. for 63,292,791 is 1

LCM of denominators i.e. for 680,279,567 is 11952360.

Thus, GCF of Fractions is 1/11952360.Finally, GCF of Fractions for 63/680, 292/279, 791/567 is 1/11952360.