Greatest Common Factor of 942/600, 638/181, 526/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 942/600, 638/181, 526/862

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 942/600,638/181,526/862

Given fractions are 942/600,638/181,526/862

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 942,638,526

Greatest Common Factor of Numerators i.e. GCF of 942,638,526 is 2 .

LCM of Denominators means LCM of 600,181,862 as per the given fractions.

LCM of 600,181,862 is 46806600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 942,638,526

GCF of Fractions 942/600,638/181,526/862 is 2/46806600

2 942, 638, 526
471, 319, 263

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 942,638,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,638,526 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 942,638,526 . The biggest common factor number is the GCF number.
So the greatest common factor 942,638,526 is 2.


Lets's calculate LCM of 600,181,862

2 600, 181, 862
300, 181, 431

∴ So the LCM of the given numbers is 2 x 300 x 181 x 431 = 46806600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/46806600

Therefore, the GCF of Fractions 942/600,638/181,526/862 is 2/46806600

Least Common Multiple of 600,181,862 with GCF Formula

Least Common Multiple of 600,181,862 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 600,181,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,181,862) = 1

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

GCF(600,181,862) x common factors =1 x 2 = 2

LCM(600,181,862) = ( 600 × 181 × 862 ) / 2

LCM(600,181,862) = 93613200 / 2

LCM(600,181,862) = 46806600


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 942/600, 638/181, 526/862

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 942/600, 638/181, 526/862?

Answer: GCF of Numerators as per given numbers 942/600, 638/181, 526/862 is

GCF of Numerators i.e. for 942,638,526 is 2

LCM of denominators i.e. for 600,181,862 is 46806600.

Thus, GCF of Fractions is 2/46806600.Finally, GCF of Fractions for 942/600, 638/181, 526/862 is 2/46806600.