Greatest Common Factor of 523/510, 6767/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 523/510, 6767/768

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 523/510,6767/768

Given fractions are 523/510,6767/768

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 523,6767

Greatest Common Factor of Numerators i.e. GCF of 523,6767 is 1 .

LCM of Denominators means LCM of 510,768 as per the given fractions.

LCM of 510,768 is 65280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 523,6767

GCF of Fractions 523/510,6767/768 is 1/65280

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

Greatest Common Factor of 523,6767 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,6767 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 6767

List of positive integer factors of 6767 that divides 6767 without a remainder.

1,67,101,6767

Greatest Common Factor

We found the factors 523,6767 . The biggest common factor number is the GCF number.
So the greatest common factor 523,6767 is 1.

Lets's calculate LCM of 510,768

2 510, 768
3 255, 384
85, 128

∴ So the LCM of the given numbers is 2 x 3 x 85 x 128 = 65280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65280

Therefore, the GCF of Fractions 523/510,6767/768 is 1/65280

Least Common Multiple of 510,768 with GCF Formula

Least Common Multiple of 510,768 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 510,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,768) = 6

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

GCF(510,768) x common factors =6 x 1 = 6

LCM(510,768) = ( 510 × 768 ) / 6

LCM(510,768) = 391680 / 6

LCM(510,768) = 65280


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 523/510, 6767/768

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 523/510, 6767/768?

Answer: GCF of Numerators as per given numbers 523/510, 6767/768 is

GCF of Numerators i.e. for 523,6767 is 1

LCM of denominators i.e. for 510,768 is 65280.

Thus, GCF of Fractions is 1/65280.Finally, GCF of Fractions for 523/510, 6767/768 is 1/65280.