Greatest Common Factor of 129/49, 100/74, 978/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 129/49, 100/74, 978/696

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 129/49,100/74,978/696

Given fractions are 129/49,100/74,978/696

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 129,100,978

Greatest Common Factor of Numerators i.e. GCF of 129,100,978 is 1 .

LCM of Denominators means LCM of 49,74,696 as per the given fractions.

LCM of 49,74,696 is 1261848 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 129,100,978

GCF of Fractions 129/49,100/74,978/696 is 1/1261848

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

Greatest Common Factor of 129,100,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 129,100,978 By Matching Biggest Common Factor Method

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

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 129,100,978 . The biggest common factor number is the GCF number.
So the greatest common factor 129,100,978 is 1.

Lets's calculate LCM of 49,74,696

2 49, 74, 696
49, 37, 348

∴ So the LCM of the given numbers is 2 x 49 x 37 x 348 = 1261848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1261848

Therefore, the GCF of Fractions 129/49,100/74,978/696 is 1/1261848

Least Common Multiple of 49,74,696 with GCF Formula

Least Common Multiple of 49,74,696 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 49,74,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,74,696) = 1

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

GCF(49,74,696) x common factors =1 x 2 = 2

LCM(49,74,696) = ( 49 × 74 × 696 ) / 2

LCM(49,74,696) = 2523696 / 2

LCM(49,74,696) = 1261848


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 129/49, 100/74, 978/696

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 129/49, 100/74, 978/696?

Answer: GCF of Numerators as per given numbers 129/49, 100/74, 978/696 is

GCF of Numerators i.e. for 129,100,978 is 1

LCM of denominators i.e. for 49,74,696 is 1261848.

Thus, GCF of Fractions is 1/1261848.Finally, GCF of Fractions for 129/49, 100/74, 978/696 is 1/1261848.