Greatest Common Factor of 78/44, 656/52, 287/587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/44, 656/52, 287/587

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 78/44,656/52,287/587

Given fractions are 78/44,656/52,287/587

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 78,656,287

Greatest Common Factor of Numerators i.e. GCF of 78,656,287 is 1 .

LCM of Denominators means LCM of 44,52,587 as per the given fractions.

LCM of 44,52,587 is 335764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,656,287

GCF of Fractions 78/44,656/52,287/587 is 1/335764

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

Greatest Common Factor of 78,656,287 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,656,287 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Greatest Common Factor

We found the factors 78,656,287 . The biggest common factor number is the GCF number.
So the greatest common factor 78,656,287 is 1.

Lets's calculate LCM of 44,52,587

2 44, 52, 587
2 22, 26, 587
11, 13, 587

∴ So the LCM of the given numbers is 2 x 2 x 11 x 13 x 587 = 335764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/335764

Therefore, the GCF of Fractions 78/44,656/52,287/587 is 1/335764

Least Common Multiple of 44,52,587 with GCF Formula

Least Common Multiple of 44,52,587 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 44,52,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,52,587) = 1

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

GCF(44,52,587) x common factors =1 x 4 = 4

LCM(44,52,587) = ( 44 × 52 × 587 ) / 4

LCM(44,52,587) = 1343056 / 4

LCM(44,52,587) = 335764


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 78/44, 656/52, 287/587

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 78/44, 656/52, 287/587?

Answer: GCF of Numerators as per given numbers 78/44, 656/52, 287/587 is

GCF of Numerators i.e. for 78,656,287 is 1

LCM of denominators i.e. for 44,52,587 is 335764.

Thus, GCF of Fractions is 1/335764.Finally, GCF of Fractions for 78/44, 656/52, 287/587 is 1/335764.