Greatest Common Factor of 1929/141, 4996/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1929/141, 4996/956

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 1929/141,4996/956

Given fractions are 1929/141,4996/956

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 1929,4996

Greatest Common Factor of Numerators i.e. GCF of 1929,4996 is 1 .

LCM of Denominators means LCM of 141,956 as per the given fractions.

LCM of 141,956 is 134796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1929,4996

GCF of Fractions 1929/141,4996/956 is 1/134796

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

Greatest Common Factor of 1929,4996 By Matching Biggest Common Factor Method

Greatest Common Factor of 1929,4996 By Matching Biggest Common Factor Method

Factors of 1929

List of positive integer factors of 1929 that divides 1929 without a remainder.

1,3,643,1929

Factors of 4996

List of positive integer factors of 4996 that divides 4996 without a remainder.

1,2,4,1249,2498,4996

Greatest Common Factor

We found the factors 1929,4996 . The biggest common factor number is the GCF number.
So the greatest common factor 1929,4996 is 1.

Lets's calculate LCM of 141,956

Given numbers has no common factors except 1. So, there LCM is their product i.e 134796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/134796

Therefore, the GCF of Fractions 1929/141,4996/956 is 1/134796

Least Common Multiple of 141,956 with GCF Formula

Least Common Multiple of 141,956 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 141,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(141,956) = 1

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

GCF(141,956) x common factors =1 x 1 = 1

LCM(141,956) = ( 141 × 956 ) / 1

LCM(141,956) = 134796 / 1

LCM(141,956) = 134796


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 1929/141, 4996/956

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 1929/141, 4996/956?

Answer: GCF of Numerators as per given numbers 1929/141, 4996/956 is

GCF of Numerators i.e. for 1929,4996 is 1

LCM of denominators i.e. for 141,956 is 134796.

Thus, GCF of Fractions is 1/134796.Finally, GCF of Fractions for 1929/141, 4996/956 is 1/134796.