Greatest Common Factor of 2058/840, 1179/3926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2058/840, 1179/3926

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 2058/840,1179/3926

Given fractions are 2058/840,1179/3926

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 2058,1179

Greatest Common Factor of Numerators i.e. GCF of 2058,1179 is 3 .

LCM of Denominators means LCM of 840,3926 as per the given fractions.

LCM of 840,3926 is 1648920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2058,1179

GCF of Fractions 2058/840,1179/3926 is 3/1648920

3 2058, 1179
686, 393

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2058,1179 By Matching Biggest Common Factor Method

Greatest Common Factor of 2058,1179 By Matching Biggest Common Factor Method

Factors of 2058

List of positive integer factors of 2058 that divides 2058 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294,343,686,1029,2058

Factors of 1179

List of positive integer factors of 1179 that divides 1179 without a remainder.

1,3,9,131,393,1179

Greatest Common Factor

We found the factors 2058,1179 . The biggest common factor number is the GCF number.
So the greatest common factor 2058,1179 is 3.

Lets's calculate LCM of 840,3926

2 840, 3926
420, 1963

∴ So the LCM of the given numbers is 2 x 420 x 1963 = 1648920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1648920

Therefore, the GCF of Fractions 2058/840,1179/3926 is 3/1648920

Least Common Multiple of 840,3926 with GCF Formula

Least Common Multiple of 840,3926 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 840,3926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,3926) = 2

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

GCF(840,3926) x common factors =2 x 1 = 2

LCM(840,3926) = ( 840 × 3926 ) / 2

LCM(840,3926) = 3297840 / 2

LCM(840,3926) = 1648920


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 2058/840, 1179/3926

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 2058/840, 1179/3926?

Answer: GCF of Numerators as per given numbers 2058/840, 1179/3926 is

GCF of Numerators i.e. for 2058,1179 is 3

LCM of denominators i.e. for 840,3926 is 1648920.

Thus, GCF of Fractions is 3/1648920.Finally, GCF of Fractions for 2058/840, 1179/3926 is 3/1648920.