Greatest Common Factor of 98/831, 91/818, 909/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 98/831, 91/818, 909/158

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 98/831,91/818,909/158

Given fractions are 98/831,91/818,909/158

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 98,91,909

Greatest Common Factor of Numerators i.e. GCF of 98,91,909 is 1 .

LCM of Denominators means LCM of 831,818,158 as per the given fractions.

LCM of 831,818,158 is 53700882 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 98,91,909

GCF of Fractions 98/831,91/818,909/158 is 1/53700882

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

Greatest Common Factor of 98,91,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,91,909 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 98,91,909 . The biggest common factor number is the GCF number.
So the greatest common factor 98,91,909 is 1.


Lets's calculate LCM of 831,818,158

2 831, 818, 158
831, 409, 79

∴ So the LCM of the given numbers is 2 x 831 x 409 x 79 = 53700882

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53700882

Therefore, the GCF of Fractions 98/831,91/818,909/158 is 1/53700882

Least Common Multiple of 831,818,158 with GCF Formula

Least Common Multiple of 831,818,158 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 831,818,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,818,158) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(831,818,158) x common factors =1 x 2 = 2

LCM(831,818,158) = ( 831 × 818 × 158 ) / 2

LCM(831,818,158) = 107401764 / 2

LCM(831,818,158) = 53700882


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 98/831, 91/818, 909/158

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 98/831, 91/818, 909/158?

Answer: GCF of Numerators as per given numbers 98/831, 91/818, 909/158 is

GCF of Numerators i.e. for 98,91,909 is 1

LCM of denominators i.e. for 831,818,158 is 53700882.

Thus, GCF of Fractions is 1/53700882.Finally, GCF of Fractions for 98/831, 91/818, 909/158 is 1/53700882.