Greatest Common Factor of 904/68, 852/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 904/68, 852/561

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 904/68,852/561

Given fractions are 904/68,852/561

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 904,852

Greatest Common Factor of Numerators i.e. GCF of 904,852 is 4 .

LCM of Denominators means LCM of 68,561 as per the given fractions.

LCM of 68,561 is 2244 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 904,852

GCF of Fractions 904/68,852/561 is 4/2244

2 904, 852
2 452, 426
226, 213

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

Greatest Common Factor of 904,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,852 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 904,852 . The biggest common factor number is the GCF number.
So the greatest common factor 904,852 is 4.

Lets's calculate LCM of 68,561

17 68, 561
4, 33

∴ So the LCM of the given numbers is 17 x 4 x 33 = 2244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2244

Therefore, the GCF of Fractions 904/68,852/561 is 4/2244

Least Common Multiple of 68,561 with GCF Formula

Least Common Multiple of 68,561 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 68,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,561) = 17

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

GCF(68,561) x common factors =17 x 1 = 17

LCM(68,561) = ( 68 × 561 ) / 17

LCM(68,561) = 38148 / 17

LCM(68,561) = 2244


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 904/68, 852/561

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 904/68, 852/561?

Answer: GCF of Numerators as per given numbers 904/68, 852/561 is

GCF of Numerators i.e. for 904,852 is 4

LCM of denominators i.e. for 68,561 is 2244.

Thus, GCF of Fractions is 4/2244.Finally, GCF of Fractions for 904/68, 852/561 is 4/2244.