Greatest Common Factor of 374/286, 5169/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 374/286, 5169/249

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 374/286,5169/249

Given fractions are 374/286,5169/249

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 374,5169

Greatest Common Factor of Numerators i.e. GCF of 374,5169 is 1 .

LCM of Denominators means LCM of 286,249 as per the given fractions.

LCM of 286,249 is 71214 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 374,5169

GCF of Fractions 374/286,5169/249 is 1/71214

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

Greatest Common Factor of 374,5169 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,5169 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 5169

List of positive integer factors of 5169 that divides 5169 without a remainder.

1,3,1723,5169

Greatest Common Factor

We found the factors 374,5169 . The biggest common factor number is the GCF number.
So the greatest common factor 374,5169 is 1.

Lets's calculate LCM of 286,249

Given numbers has no common factors except 1. So, there LCM is their product i.e 71214

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71214

Therefore, the GCF of Fractions 374/286,5169/249 is 1/71214

Least Common Multiple of 286,249 with GCF Formula

Least Common Multiple of 286,249 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 286,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,249) = 1

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

GCF(286,249) x common factors =1 x 1 = 1

LCM(286,249) = ( 286 × 249 ) / 1

LCM(286,249) = 71214 / 1

LCM(286,249) = 71214


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 374/286, 5169/249

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 374/286, 5169/249?

Answer: GCF of Numerators as per given numbers 374/286, 5169/249 is

GCF of Numerators i.e. for 374,5169 is 1

LCM of denominators i.e. for 286,249 is 71214.

Thus, GCF of Fractions is 1/71214.Finally, GCF of Fractions for 374/286, 5169/249 is 1/71214.