Greatest Common Factor of 103/835, 891/510, 648/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 103/835, 891/510, 648/889

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 103/835,891/510,648/889

Given fractions are 103/835,891/510,648/889

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 103,891,648

Greatest Common Factor of Numerators i.e. GCF of 103,891,648 is 1 .

LCM of Denominators means LCM of 835,510,889 as per the given fractions.

LCM of 835,510,889 is 75716130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 103,891,648

GCF of Fractions 103/835,891/510,648/889 is 1/75716130

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

Greatest Common Factor of 103,891,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 103,891,648 By Matching Biggest Common Factor Method

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 103,891,648 . The biggest common factor number is the GCF number.
So the greatest common factor 103,891,648 is 1.

Lets's calculate LCM of 835,510,889

5 835, 510, 889
167, 102, 889

∴ So the LCM of the given numbers is 5 x 167 x 102 x 889 = 75716130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75716130

Therefore, the GCF of Fractions 103/835,891/510,648/889 is 1/75716130

Least Common Multiple of 835,510,889 with GCF Formula

Least Common Multiple of 835,510,889 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 835,510,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(835,510,889) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(835,510,889) x common factors =1 x 5 = 5

LCM(835,510,889) = ( 835 × 510 × 889 ) / 5

LCM(835,510,889) = 378580650 / 5

LCM(835,510,889) = 75716130


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 103/835, 891/510, 648/889

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 103/835, 891/510, 648/889?

Answer: GCF of Numerators as per given numbers 103/835, 891/510, 648/889 is

GCF of Numerators i.e. for 103,891,648 is 1

LCM of denominators i.e. for 835,510,889 is 75716130.

Thus, GCF of Fractions is 1/75716130.Finally, GCF of Fractions for 103/835, 891/510, 648/889 is 1/75716130.