Greatest Common Factor of 5918/171, 3268/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5918/171, 3268/998

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 5918/171,3268/998

Given fractions are 5918/171,3268/998

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 5918,3268

Greatest Common Factor of Numerators i.e. GCF of 5918,3268 is 2 .

LCM of Denominators means LCM of 171,998 as per the given fractions.

LCM of 171,998 is 170658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5918,3268

GCF of Fractions 5918/171,3268/998 is 2/170658

2 5918, 3268
2959, 1634

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5918,3268 By Matching Biggest Common Factor Method

Greatest Common Factor of 5918,3268 By Matching Biggest Common Factor Method

Factors of 5918

List of positive integer factors of 5918 that divides 5918 without a remainder.

1,2,11,22,269,538,2959,5918

Factors of 3268

List of positive integer factors of 3268 that divides 3268 without a remainder.

1,2,4,19,38,43,76,86,172,817,1634,3268

Greatest Common Factor

We found the factors 5918,3268 . The biggest common factor number is the GCF number.
So the greatest common factor 5918,3268 is 2.

Lets's calculate LCM of 171,998

Given numbers has no common factors except 1. So, there LCM is their product i.e 170658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/170658

Therefore, the GCF of Fractions 5918/171,3268/998 is 2/170658

Least Common Multiple of 171,998 with GCF Formula

Least Common Multiple of 171,998 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 171,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,998) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(171,998) x common factors =1 x 1 = 1

LCM(171,998) = ( 171 × 998 ) / 1

LCM(171,998) = 170658 / 1

LCM(171,998) = 170658


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 5918/171, 3268/998

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 5918/171, 3268/998?

Answer: GCF of Numerators as per given numbers 5918/171, 3268/998 is

GCF of Numerators i.e. for 5918,3268 is 2

LCM of denominators i.e. for 171,998 is 170658.

Thus, GCF of Fractions is 2/170658.Finally, GCF of Fractions for 5918/171, 3268/998 is 2/170658.