Greatest Common Factor of 978/42, 2477/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 978/42, 2477/610

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 978/42,2477/610

Given fractions are 978/42,2477/610

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 978,2477

Greatest Common Factor of Numerators i.e. GCF of 978,2477 is 1 .

LCM of Denominators means LCM of 42,610 as per the given fractions.

LCM of 42,610 is 12810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 978,2477

GCF of Fractions 978/42,2477/610 is 1/12810

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

Greatest Common Factor of 978,2477 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,2477 By Matching Biggest Common Factor Method

Factors of 978

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

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

Factors of 2477

List of positive integer factors of 2477 that divides 2477 without a remainder.

1,2477

Greatest Common Factor

We found the factors 978,2477 . The biggest common factor number is the GCF number.
So the greatest common factor 978,2477 is 1.

Lets's calculate LCM of 42,610

2 42, 610
21, 305

∴ So the LCM of the given numbers is 2 x 21 x 305 = 12810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12810

Therefore, the GCF of Fractions 978/42,2477/610 is 1/12810

Least Common Multiple of 42,610 with GCF Formula

Least Common Multiple of 42,610 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 42,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,610) = 2

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

GCF(42,610) x common factors =2 x 1 = 2

LCM(42,610) = ( 42 × 610 ) / 2

LCM(42,610) = 25620 / 2

LCM(42,610) = 12810


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 978/42, 2477/610

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 978/42, 2477/610?

Answer: GCF of Numerators as per given numbers 978/42, 2477/610 is

GCF of Numerators i.e. for 978,2477 is 1

LCM of denominators i.e. for 42,610 is 12810.

Thus, GCF of Fractions is 1/12810.Finally, GCF of Fractions for 978/42, 2477/610 is 1/12810.