Greatest Common Factor of 36/849, 874/557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/849, 874/557

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 36/849,874/557

Given fractions are 36/849,874/557

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 36,874

Greatest Common Factor of Numerators i.e. GCF of 36,874 is 2 .

LCM of Denominators means LCM of 849,557 as per the given fractions.

LCM of 849,557 is 472893 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,874

GCF of Fractions 36/849,874/557 is 2/472893

2 36, 874
18, 437

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

Greatest Common Factor of 36,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,874 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 36,874 . The biggest common factor number is the GCF number.
So the greatest common factor 36,874 is 2.

Lets's calculate LCM of 849,557

Given numbers has no common factors except 1. So, there LCM is their product i.e 472893

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/472893

Therefore, the GCF of Fractions 36/849,874/557 is 2/472893

Least Common Multiple of 849,557 with GCF Formula

Least Common Multiple of 849,557 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 849,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,557) = 1

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

GCF(849,557) x common factors =1 x 1 = 1

LCM(849,557) = ( 849 × 557 ) / 1

LCM(849,557) = 472893 / 1

LCM(849,557) = 472893


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 36/849, 874/557

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 36/849, 874/557?

Answer: GCF of Numerators as per given numbers 36/849, 874/557 is

GCF of Numerators i.e. for 36,874 is 2

LCM of denominators i.e. for 849,557 is 472893.

Thus, GCF of Fractions is 2/472893.Finally, GCF of Fractions for 36/849, 874/557 is 2/472893.