Greatest Common Factor of 689/512, 663/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 689/512, 663/377

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 689/512,663/377

Given fractions are 689/512,663/377

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 689,663

Greatest Common Factor of Numerators i.e. GCF of 689,663 is 13 .

LCM of Denominators means LCM of 512,377 as per the given fractions.

LCM of 512,377 is 193024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 689,663

GCF of Fractions 689/512,663/377 is 13/193024

13 689, 663
53, 51

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 689,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,663 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 689,663 . The biggest common factor number is the GCF number.
So the greatest common factor 689,663 is 13.

Lets's calculate LCM of 512,377

Given numbers has no common factors except 1. So, there LCM is their product i.e 193024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/193024

Therefore, the GCF of Fractions 689/512,663/377 is 13/193024

Least Common Multiple of 512,377 with GCF Formula

Least Common Multiple of 512,377 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 512,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,377) = 1

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

GCF(512,377) x common factors =1 x 1 = 1

LCM(512,377) = ( 512 × 377 ) / 1

LCM(512,377) = 193024 / 1

LCM(512,377) = 193024


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 689/512, 663/377

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 689/512, 663/377?

Answer: GCF of Numerators as per given numbers 689/512, 663/377 is

GCF of Numerators i.e. for 689,663 is 13

LCM of denominators i.e. for 512,377 is 193024.

Thus, GCF of Fractions is 13/193024.Finally, GCF of Fractions for 689/512, 663/377 is 13/193024.