Greatest Common Factor of 677/337, 514/636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 677/337, 514/636

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 677/337,514/636

Given fractions are 677/337,514/636

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 677,514

Greatest Common Factor of Numerators i.e. GCF of 677,514 is 1 .

LCM of Denominators means LCM of 337,636 as per the given fractions.

LCM of 337,636 is 214332 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 677,514

GCF of Fractions 677/337,514/636 is 1/214332

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

Greatest Common Factor of 677,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,514 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 677,514 . The biggest common factor number is the GCF number.
So the greatest common factor 677,514 is 1.

Lets's calculate LCM of 337,636

Given numbers has no common factors except 1. So, there LCM is their product i.e 214332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214332

Therefore, the GCF of Fractions 677/337,514/636 is 1/214332

Least Common Multiple of 337,636 with GCF Formula

Least Common Multiple of 337,636 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 337,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(337,636) = 1

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

GCF(337,636) x common factors =1 x 1 = 1

LCM(337,636) = ( 337 × 636 ) / 1

LCM(337,636) = 214332 / 1

LCM(337,636) = 214332


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 677/337, 514/636

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 677/337, 514/636?

Answer: GCF of Numerators as per given numbers 677/337, 514/636 is

GCF of Numerators i.e. for 677,514 is 1

LCM of denominators i.e. for 337,636 is 214332.

Thus, GCF of Fractions is 1/214332.Finally, GCF of Fractions for 677/337, 514/636 is 1/214332.