Greatest Common Factor of 663/256, 869/427, 993/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 663/256, 869/427, 993/243

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 663/256,869/427,993/243

Given fractions are 663/256,869/427,993/243

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 663,869,993

Greatest Common Factor of Numerators i.e. GCF of 663,869,993 is 1 .

LCM of Denominators means LCM of 256,427,243 as per the given fractions.

LCM of 256,427,243 is 26562816 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 663,869,993

GCF of Fractions 663/256,869/427,993/243 is 1/26562816

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 663,869,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,869,993 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 663,869,993 . The biggest common factor number is the GCF number.
So the greatest common factor 663,869,993 is 1.

Lets's calculate LCM of 256,427,243

Given numbers has no common factors except 1. So, there LCM is their product i.e 26562816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26562816

Therefore, the GCF of Fractions 663/256,869/427,993/243 is 1/26562816

Least Common Multiple of 256,427,243 with GCF Formula

Least Common Multiple of 256,427,243 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 256,427,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,427,243) = 1

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

GCF(256,427,243) x common factors =1 x 1 = 1

LCM(256,427,243) = ( 256 × 427 × 243 ) / 1

LCM(256,427,243) = 26562816 / 1

LCM(256,427,243) = 26562816


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 663/256, 869/427, 993/243

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 663/256, 869/427, 993/243?

Answer: GCF of Numerators as per given numbers 663/256, 869/427, 993/243 is

GCF of Numerators i.e. for 663,869,993 is 1

LCM of denominators i.e. for 256,427,243 is 26562816.

Thus, GCF of Fractions is 1/26562816.Finally, GCF of Fractions for 663/256, 869/427, 993/243 is 1/26562816.