Greatest Common Factor of 894/475, 963/553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 894/475, 963/553

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 894/475,963/553

Given fractions are 894/475,963/553

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 894,963

Greatest Common Factor of Numerators i.e. GCF of 894,963 is 3 .

LCM of Denominators means LCM of 475,553 as per the given fractions.

LCM of 475,553 is 262675 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 894,963

GCF of Fractions 894/475,963/553 is 3/262675

3 894, 963
298, 321

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

Greatest Common Factor of 894,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,963 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 894,963 . The biggest common factor number is the GCF number.
So the greatest common factor 894,963 is 3.

Lets's calculate LCM of 475,553

Given numbers has no common factors except 1. So, there LCM is their product i.e 262675

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/262675

Therefore, the GCF of Fractions 894/475,963/553 is 3/262675

Least Common Multiple of 475,553 with GCF Formula

Least Common Multiple of 475,553 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 475,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,553) = 1

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

GCF(475,553) x common factors =1 x 1 = 1

LCM(475,553) = ( 475 × 553 ) / 1

LCM(475,553) = 262675 / 1

LCM(475,553) = 262675


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 894/475, 963/553

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 894/475, 963/553?

Answer: GCF of Numerators as per given numbers 894/475, 963/553 is

GCF of Numerators i.e. for 894,963 is 3

LCM of denominators i.e. for 475,553 is 262675.

Thus, GCF of Fractions is 3/262675.Finally, GCF of Fractions for 894/475, 963/553 is 3/262675.