Greatest Common Factor of 927/403, 5553/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 927/403, 5553/512

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 927/403,5553/512

Given fractions are 927/403,5553/512

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 927,5553

Greatest Common Factor of Numerators i.e. GCF of 927,5553 is 9 .

LCM of Denominators means LCM of 403,512 as per the given fractions.

LCM of 403,512 is 206336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 927,5553

GCF of Fractions 927/403,5553/512 is 9/206336

3 927, 5553
3 309, 1851
103, 617

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 927,5553 By Matching Biggest Common Factor Method

Greatest Common Factor of 927,5553 By Matching Biggest Common Factor Method

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Factors of 5553

List of positive integer factors of 5553 that divides 5553 without a remainder.

1,3,9,617,1851,5553

Greatest Common Factor

We found the factors 927,5553 . The biggest common factor number is the GCF number.
So the greatest common factor 927,5553 is 9.

Lets's calculate LCM of 403,512

Given numbers has no common factors except 1. So, there LCM is their product i.e 206336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/206336

Therefore, the GCF of Fractions 927/403,5553/512 is 9/206336

Least Common Multiple of 403,512 with GCF Formula

Least Common Multiple of 403,512 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 403,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(403,512) = 1

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

GCF(403,512) x common factors =1 x 1 = 1

LCM(403,512) = ( 403 × 512 ) / 1

LCM(403,512) = 206336 / 1

LCM(403,512) = 206336


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 927/403, 5553/512

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 927/403, 5553/512?

Answer: GCF of Numerators as per given numbers 927/403, 5553/512 is

GCF of Numerators i.e. for 927,5553 is 9

LCM of denominators i.e. for 403,512 is 206336.

Thus, GCF of Fractions is 9/206336.Finally, GCF of Fractions for 927/403, 5553/512 is 9/206336.