Greatest Common Factor of 1992/359, 2923/2691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1992/359, 2923/2691

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 1992/359,2923/2691

Given fractions are 1992/359,2923/2691

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 1992,2923

Greatest Common Factor of Numerators i.e. GCF of 1992,2923 is 1 .

LCM of Denominators means LCM of 359,2691 as per the given fractions.

LCM of 359,2691 is 966069 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1992,2923

GCF of Fractions 1992/359,2923/2691 is 1/966069

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

Greatest Common Factor of 1992,2923 By Matching Biggest Common Factor Method

Greatest Common Factor of 1992,2923 By Matching Biggest Common Factor Method

Factors of 1992

List of positive integer factors of 1992 that divides 1992 without a remainder.

1,2,3,4,6,8,12,24,83,166,249,332,498,664,996,1992

Factors of 2923

List of positive integer factors of 2923 that divides 2923 without a remainder.

1,37,79,2923

Greatest Common Factor

We found the factors 1992,2923 . The biggest common factor number is the GCF number.
So the greatest common factor 1992,2923 is 1.

Lets's calculate LCM of 359,2691

Given numbers has no common factors except 1. So, there LCM is their product i.e 966069

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/966069

Therefore, the GCF of Fractions 1992/359,2923/2691 is 1/966069

Least Common Multiple of 359,2691 with GCF Formula

Least Common Multiple of 359,2691 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 359,2691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,2691) = 1

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

GCF(359,2691) x common factors =1 x 1 = 1

LCM(359,2691) = ( 359 × 2691 ) / 1

LCM(359,2691) = 966069 / 1

LCM(359,2691) = 966069


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 1992/359, 2923/2691

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 1992/359, 2923/2691?

Answer: GCF of Numerators as per given numbers 1992/359, 2923/2691 is

GCF of Numerators i.e. for 1992,2923 is 1

LCM of denominators i.e. for 359,2691 is 966069.

Thus, GCF of Fractions is 1/966069.Finally, GCF of Fractions for 1992/359, 2923/2691 is 1/966069.