Greatest Common Factor of 42/256, 978/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/256, 978/202

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 42/256,978/202

Given fractions are 42/256,978/202

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 42,978

Greatest Common Factor of Numerators i.e. GCF of 42,978 is 6 .

LCM of Denominators means LCM of 256,202 as per the given fractions.

LCM of 256,202 is 25856 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,978

GCF of Fractions 42/256,978/202 is 6/25856

2 42, 978
3 21, 489
7, 163

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 42,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,978 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 42,978 . The biggest common factor number is the GCF number.
So the greatest common factor 42,978 is 6.

Lets's calculate LCM of 256,202

2 256, 202
128, 101

∴ So the LCM of the given numbers is 2 x 128 x 101 = 25856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/25856

Therefore, the GCF of Fractions 42/256,978/202 is 6/25856

Least Common Multiple of 256,202 with GCF Formula

Least Common Multiple of 256,202 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 256,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,202) = 2

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

GCF(256,202) x common factors =2 x 1 = 2

LCM(256,202) = ( 256 × 202 ) / 2

LCM(256,202) = 51712 / 2

LCM(256,202) = 25856


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 42/256, 978/202

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 42/256, 978/202?

Answer: GCF of Numerators as per given numbers 42/256, 978/202 is

GCF of Numerators i.e. for 42,978 is 6

LCM of denominators i.e. for 256,202 is 25856.

Thus, GCF of Fractions is 6/25856.Finally, GCF of Fractions for 42/256, 978/202 is 6/25856.