Greatest Common Factor of 887/64, 500/74, 950/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 887/64, 500/74, 950/656

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 887/64,500/74,950/656

Given fractions are 887/64,500/74,950/656

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 887,500,950

Greatest Common Factor of Numerators i.e. GCF of 887,500,950 is 1 .

LCM of Denominators means LCM of 64,74,656 as per the given fractions.

LCM of 64,74,656 is 97088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 887,500,950

GCF of Fractions 887/64,500/74,950/656 is 1/97088

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

Greatest Common Factor of 887,500,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 887,500,950 By Matching Biggest Common Factor Method

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 887,500,950 . The biggest common factor number is the GCF number.
So the greatest common factor 887,500,950 is 1.

Lets's calculate LCM of 64,74,656

2 64, 74, 656
2 32, 37, 328
2 16, 37, 164
2 8, 37, 82
4, 37, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 4 x 37 x 41 = 97088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97088

Therefore, the GCF of Fractions 887/64,500/74,950/656 is 1/97088

Least Common Multiple of 64,74,656 with GCF Formula

Least Common Multiple of 64,74,656 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 64,74,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,74,656) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(64,74,656) x common factors =2 x 16 = 32

LCM(64,74,656) = ( 64 × 74 × 656 ) / 32

LCM(64,74,656) = 3106816 / 32

LCM(64,74,656) = 97088


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 887/64, 500/74, 950/656

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 887/64, 500/74, 950/656?

Answer: GCF of Numerators as per given numbers 887/64, 500/74, 950/656 is

GCF of Numerators i.e. for 887,500,950 is 1

LCM of denominators i.e. for 64,74,656 is 97088.

Thus, GCF of Fractions is 1/97088.Finally, GCF of Fractions for 887/64, 500/74, 950/656 is 1/97088.