Greatest Common Factor of 1962/840, 1613/2109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1962/840, 1613/2109

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 1962/840,1613/2109

Given fractions are 1962/840,1613/2109

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 1962,1613

Greatest Common Factor of Numerators i.e. GCF of 1962,1613 is 1 .

LCM of Denominators means LCM of 840,2109 as per the given fractions.

LCM of 840,2109 is 590520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1962,1613

GCF of Fractions 1962/840,1613/2109 is 1/590520

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

Greatest Common Factor of 1962,1613 By Matching Biggest Common Factor Method

Greatest Common Factor of 1962,1613 By Matching Biggest Common Factor Method

Factors of 1962

List of positive integer factors of 1962 that divides 1962 without a remainder.

1,2,3,6,9,18,109,218,327,654,981,1962

Factors of 1613

List of positive integer factors of 1613 that divides 1613 without a remainder.

1,1613

Greatest Common Factor

We found the factors 1962,1613 . The biggest common factor number is the GCF number.
So the greatest common factor 1962,1613 is 1.

Lets's calculate LCM of 840,2109

3 840, 2109
280, 703

∴ So the LCM of the given numbers is 3 x 280 x 703 = 590520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/590520

Therefore, the GCF of Fractions 1962/840,1613/2109 is 1/590520

Least Common Multiple of 840,2109 with GCF Formula

Least Common Multiple of 840,2109 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 840,2109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,2109) = 3

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

GCF(840,2109) x common factors =3 x 1 = 3

LCM(840,2109) = ( 840 × 2109 ) / 3

LCM(840,2109) = 1771560 / 3

LCM(840,2109) = 590520


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 1962/840, 1613/2109

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 1962/840, 1613/2109?

Answer: GCF of Numerators as per given numbers 1962/840, 1613/2109 is

GCF of Numerators i.e. for 1962,1613 is 1

LCM of denominators i.e. for 840,2109 is 590520.

Thus, GCF of Fractions is 1/590520.Finally, GCF of Fractions for 1962/840, 1613/2109 is 1/590520.