Greatest Common Factor of 85/56, 990/16, 877/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/56, 990/16, 877/889

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 85/56,990/16,877/889

Given fractions are 85/56,990/16,877/889

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 85,990,877

Greatest Common Factor of Numerators i.e. GCF of 85,990,877 is 1 .

LCM of Denominators means LCM of 56,16,889 as per the given fractions.

LCM of 56,16,889 is 14224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,990,877

GCF of Fractions 85/56,990/16,877/889 is 1/14224

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

Greatest Common Factor of 85,990,877 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,990,877 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Greatest Common Factor

We found the factors 85,990,877 . The biggest common factor number is the GCF number.
So the greatest common factor 85,990,877 is 1.

Lets's calculate LCM of 56,16,889

2 56, 16, 889
2 28, 8, 889
2 14, 4, 889
7 7, 2, 889
1, 2, 127

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 2 x 127 = 14224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14224

Therefore, the GCF of Fractions 85/56,990/16,877/889 is 1/14224

Least Common Multiple of 56,16,889 with GCF Formula

Least Common Multiple of 56,16,889 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 56,16,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,16,889) = 1

common factors(in case of two or more numbers have common factors) = 56

GCF(56,16,889) x common factors =1 x 56 = 56

LCM(56,16,889) = ( 56 × 16 × 889 ) / 56

LCM(56,16,889) = 796544 / 56

LCM(56,16,889) = 14224


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 85/56, 990/16, 877/889

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 85/56, 990/16, 877/889?

Answer: GCF of Numerators as per given numbers 85/56, 990/16, 877/889 is

GCF of Numerators i.e. for 85,990,877 is 1

LCM of denominators i.e. for 56,16,889 is 14224.

Thus, GCF of Fractions is 1/14224.Finally, GCF of Fractions for 85/56, 990/16, 877/889 is 1/14224.