Greatest Common Factor of 892/50, 636/3674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 892/50, 636/3674

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 892/50,636/3674

Given fractions are 892/50,636/3674

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 892,636

Greatest Common Factor of Numerators i.e. GCF of 892,636 is 4 .

LCM of Denominators means LCM of 50,3674 as per the given fractions.

LCM of 50,3674 is 91850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 892,636

GCF of Fractions 892/50,636/3674 is 4/91850

2 892, 636
2 446, 318
223, 159

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 892,636 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,636 By Matching Biggest Common Factor Method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 892,636 . The biggest common factor number is the GCF number.
So the greatest common factor 892,636 is 4.

Lets's calculate LCM of 50,3674

2 50, 3674
25, 1837

∴ So the LCM of the given numbers is 2 x 25 x 1837 = 91850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/91850

Therefore, the GCF of Fractions 892/50,636/3674 is 4/91850

Least Common Multiple of 50,3674 with GCF Formula

Least Common Multiple of 50,3674 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 50,3674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,3674) = 2

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

GCF(50,3674) x common factors =2 x 1 = 2

LCM(50,3674) = ( 50 × 3674 ) / 2

LCM(50,3674) = 183700 / 2

LCM(50,3674) = 91850


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 892/50, 636/3674

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 892/50, 636/3674?

Answer: GCF of Numerators as per given numbers 892/50, 636/3674 is

GCF of Numerators i.e. for 892,636 is 4

LCM of denominators i.e. for 50,3674 is 91850.

Thus, GCF of Fractions is 4/91850.Finally, GCF of Fractions for 892/50, 636/3674 is 4/91850.