Greatest Common Factor of 277/465, 659/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 277/465, 659/336

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 277/465,659/336

Given fractions are 277/465,659/336

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 277,659

Greatest Common Factor of Numerators i.e. GCF of 277,659 is 1 .

LCM of Denominators means LCM of 465,336 as per the given fractions.

LCM of 465,336 is 52080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 277,659

GCF of Fractions 277/465,659/336 is 1/52080

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

Greatest Common Factor of 277,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,659 By Matching Biggest Common Factor Method

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Greatest Common Factor

We found the factors 277,659 . The biggest common factor number is the GCF number.
So the greatest common factor 277,659 is 1.

Lets's calculate LCM of 465,336

3 465, 336
155, 112

∴ So the LCM of the given numbers is 3 x 155 x 112 = 52080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52080

Therefore, the GCF of Fractions 277/465,659/336 is 1/52080

Least Common Multiple of 465,336 with GCF Formula

Least Common Multiple of 465,336 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 465,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,336) = 3

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

GCF(465,336) x common factors =3 x 1 = 3

LCM(465,336) = ( 465 × 336 ) / 3

LCM(465,336) = 156240 / 3

LCM(465,336) = 52080


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 277/465, 659/336

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 277/465, 659/336?

Answer: GCF of Numerators as per given numbers 277/465, 659/336 is

GCF of Numerators i.e. for 277,659 is 1

LCM of denominators i.e. for 465,336 is 52080.

Thus, GCF of Fractions is 1/52080.Finally, GCF of Fractions for 277/465, 659/336 is 1/52080.