Greatest Common Factor of 7983/254, 2782/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7983/254, 2782/224

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 7983/254,2782/224

Given fractions are 7983/254,2782/224

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 7983,2782

Greatest Common Factor of Numerators i.e. GCF of 7983,2782 is 1 .

LCM of Denominators means LCM of 254,224 as per the given fractions.

LCM of 254,224 is 28448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7983,2782

GCF of Fractions 7983/254,2782/224 is 1/28448

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

Greatest Common Factor of 7983,2782 By Matching Biggest Common Factor Method

Greatest Common Factor of 7983,2782 By Matching Biggest Common Factor Method

Factors of 7983

List of positive integer factors of 7983 that divides 7983 without a remainder.

1,3,9,887,2661,7983

Factors of 2782

List of positive integer factors of 2782 that divides 2782 without a remainder.

1,2,13,26,107,214,1391,2782

Greatest Common Factor

We found the factors 7983,2782 . The biggest common factor number is the GCF number.
So the greatest common factor 7983,2782 is 1.

Lets's calculate LCM of 254,224

2 254, 224
127, 112

∴ So the LCM of the given numbers is 2 x 127 x 112 = 28448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28448

Therefore, the GCF of Fractions 7983/254,2782/224 is 1/28448

Least Common Multiple of 254,224 with GCF Formula

Least Common Multiple of 254,224 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 254,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,224) = 2

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

GCF(254,224) x common factors =2 x 1 = 2

LCM(254,224) = ( 254 × 224 ) / 2

LCM(254,224) = 56896 / 2

LCM(254,224) = 28448


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 7983/254, 2782/224

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 7983/254, 2782/224?

Answer: GCF of Numerators as per given numbers 7983/254, 2782/224 is

GCF of Numerators i.e. for 7983,2782 is 1

LCM of denominators i.e. for 254,224 is 28448.

Thus, GCF of Fractions is 1/28448.Finally, GCF of Fractions for 7983/254, 2782/224 is 1/28448.