Greatest Common Factor of 365/274, 8917/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 365/274, 8917/420

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 365/274,8917/420

Given fractions are 365/274,8917/420

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 365,8917

Greatest Common Factor of Numerators i.e. GCF of 365,8917 is 1 .

LCM of Denominators means LCM of 274,420 as per the given fractions.

LCM of 274,420 is 57540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 365,8917

GCF of Fractions 365/274,8917/420 is 1/57540

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

Greatest Common Factor of 365,8917 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,8917 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 8917

List of positive integer factors of 8917 that divides 8917 without a remainder.

1,37,241,8917

Greatest Common Factor

We found the factors 365,8917 . The biggest common factor number is the GCF number.
So the greatest common factor 365,8917 is 1.

Lets's calculate LCM of 274,420

2 274, 420
137, 210

∴ So the LCM of the given numbers is 2 x 137 x 210 = 57540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57540

Therefore, the GCF of Fractions 365/274,8917/420 is 1/57540

Least Common Multiple of 274,420 with GCF Formula

Least Common Multiple of 274,420 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 274,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,420) = 2

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

GCF(274,420) x common factors =2 x 1 = 2

LCM(274,420) = ( 274 × 420 ) / 2

LCM(274,420) = 115080 / 2

LCM(274,420) = 57540


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 365/274, 8917/420

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 365/274, 8917/420?

Answer: GCF of Numerators as per given numbers 365/274, 8917/420 is

GCF of Numerators i.e. for 365,8917 is 1

LCM of denominators i.e. for 274,420 is 57540.

Thus, GCF of Fractions is 1/57540.Finally, GCF of Fractions for 365/274, 8917/420 is 1/57540.