Greatest Common Factor of 978/41, 1546/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 978/41, 1546/329

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 978/41,1546/329

Given fractions are 978/41,1546/329

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 978,1546

Greatest Common Factor of Numerators i.e. GCF of 978,1546 is 2 .

LCM of Denominators means LCM of 41,329 as per the given fractions.

LCM of 41,329 is 13489 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 978,1546

GCF of Fractions 978/41,1546/329 is 2/13489

2 978, 1546
489, 773

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

Greatest Common Factor of 978,1546 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,1546 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 1546

List of positive integer factors of 1546 that divides 1546 without a remainder.

1,2,773,1546

Greatest Common Factor

We found the factors 978,1546 . The biggest common factor number is the GCF number.
So the greatest common factor 978,1546 is 2.

Lets's calculate LCM of 41,329

Given numbers has no common factors except 1. So, there LCM is their product i.e 13489

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13489

Therefore, the GCF of Fractions 978/41,1546/329 is 2/13489

Least Common Multiple of 41,329 with GCF Formula

Least Common Multiple of 41,329 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 41,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,329) = 1

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

GCF(41,329) x common factors =1 x 1 = 1

LCM(41,329) = ( 41 × 329 ) / 1

LCM(41,329) = 13489 / 1

LCM(41,329) = 13489


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 978/41, 1546/329

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 978/41, 1546/329?

Answer: GCF of Numerators as per given numbers 978/41, 1546/329 is

GCF of Numerators i.e. for 978,1546 is 2

LCM of denominators i.e. for 41,329 is 13489.

Thus, GCF of Fractions is 2/13489.Finally, GCF of Fractions for 978/41, 1546/329 is 2/13489.