Greatest Common Factor of 921/918, 2562/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 921/918, 2562/366

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 921/918,2562/366

Given fractions are 921/918,2562/366

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 921,2562

Greatest Common Factor of Numerators i.e. GCF of 921,2562 is 3 .

LCM of Denominators means LCM of 918,366 as per the given fractions.

LCM of 918,366 is 55998 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 921,2562

GCF of Fractions 921/918,2562/366 is 3/55998

3 921, 2562
307, 854

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

Greatest Common Factor of 921,2562 By Matching Biggest Common Factor Method

Greatest Common Factor of 921,2562 By Matching Biggest Common Factor Method

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 2562

List of positive integer factors of 2562 that divides 2562 without a remainder.

1,2,3,6,7,14,21,42,61,122,183,366,427,854,1281,2562

Greatest Common Factor

We found the factors 921,2562 . The biggest common factor number is the GCF number.
So the greatest common factor 921,2562 is 3.

Lets's calculate LCM of 918,366

2 918, 366
3 459, 183
153, 61

∴ So the LCM of the given numbers is 2 x 3 x 153 x 61 = 55998

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/55998

Therefore, the GCF of Fractions 921/918,2562/366 is 3/55998

Least Common Multiple of 918,366 with GCF Formula

Least Common Multiple of 918,366 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 918,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,366) = 6

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

GCF(918,366) x common factors =6 x 1 = 6

LCM(918,366) = ( 918 × 366 ) / 6

LCM(918,366) = 335988 / 6

LCM(918,366) = 55998


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 921/918, 2562/366

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 921/918, 2562/366?

Answer: GCF of Numerators as per given numbers 921/918, 2562/366 is

GCF of Numerators i.e. for 921,2562 is 3

LCM of denominators i.e. for 918,366 is 55998.

Thus, GCF of Fractions is 3/55998.Finally, GCF of Fractions for 921/918, 2562/366 is 3/55998.