Greatest Common Factor of 5282/854, 1251/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5282/854, 1251/817

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 5282/854,1251/817

Given fractions are 5282/854,1251/817

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 5282,1251

Greatest Common Factor of Numerators i.e. GCF of 5282,1251 is 139 .

LCM of Denominators means LCM of 854,817 as per the given fractions.

LCM of 854,817 is 697718 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5282,1251

GCF of Fractions 5282/854,1251/817 is 139/697718

139 5282, 1251
38, 9

∴ So the GCF of the given numbers is 139 = 139

Greatest Common Factor of 5282,1251 By Matching Biggest Common Factor Method

Greatest Common Factor of 5282,1251 By Matching Biggest Common Factor Method

Factors of 5282

List of positive integer factors of 5282 that divides 5282 without a remainder.

1,2,19,38,139,278,2641,5282

Factors of 1251

List of positive integer factors of 1251 that divides 1251 without a remainder.

1,3,9,139,417,1251

Greatest Common Factor

We found the factors 5282,1251 . The biggest common factor number is the GCF number.
So the greatest common factor 5282,1251 is 139.

Lets's calculate LCM of 854,817

Given numbers has no common factors except 1. So, there LCM is their product i.e 697718

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 139/697718

Therefore, the GCF of Fractions 5282/854,1251/817 is 139/697718

Least Common Multiple of 854,817 with GCF Formula

Least Common Multiple of 854,817 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 854,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,817) = 1

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

GCF(854,817) x common factors =1 x 1 = 1

LCM(854,817) = ( 854 × 817 ) / 1

LCM(854,817) = 697718 / 1

LCM(854,817) = 697718


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 5282/854, 1251/817

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 5282/854, 1251/817?

Answer: GCF of Numerators as per given numbers 5282/854, 1251/817 is

GCF of Numerators i.e. for 5282,1251 is 139

LCM of denominators i.e. for 854,817 is 697718.

Thus, GCF of Fractions is 139/697718.Finally, GCF of Fractions for 5282/854, 1251/817 is 139/697718.