Greatest Common Factor of 535/512, 1077/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 535/512, 1077/577

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 535/512,1077/577

Given fractions are 535/512,1077/577

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 535,1077

Greatest Common Factor of Numerators i.e. GCF of 535,1077 is 1 .

LCM of Denominators means LCM of 512,577 as per the given fractions.

LCM of 512,577 is 295424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 535,1077

GCF of Fractions 535/512,1077/577 is 1/295424

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

Greatest Common Factor of 535,1077 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,1077 By Matching Biggest Common Factor Method

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 1077

List of positive integer factors of 1077 that divides 1077 without a remainder.

1,3,359,1077

Greatest Common Factor

We found the factors 535,1077 . The biggest common factor number is the GCF number.
So the greatest common factor 535,1077 is 1.

Lets's calculate LCM of 512,577

Given numbers has no common factors except 1. So, there LCM is their product i.e 295424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/295424

Therefore, the GCF of Fractions 535/512,1077/577 is 1/295424

Least Common Multiple of 512,577 with GCF Formula

Least Common Multiple of 512,577 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 512,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,577) = 1

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

GCF(512,577) x common factors =1 x 1 = 1

LCM(512,577) = ( 512 × 577 ) / 1

LCM(512,577) = 295424 / 1

LCM(512,577) = 295424


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 535/512, 1077/577

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 535/512, 1077/577?

Answer: GCF of Numerators as per given numbers 535/512, 1077/577 is

GCF of Numerators i.e. for 535,1077 is 1

LCM of denominators i.e. for 512,577 is 295424.

Thus, GCF of Fractions is 1/295424.Finally, GCF of Fractions for 535/512, 1077/577 is 1/295424.