Greatest Common Factor of 535/77, 754/619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 535/77, 754/619

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 535/77,754/619

Given fractions are 535/77,754/619

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 535,754

Greatest Common Factor of Numerators i.e. GCF of 535,754 is 1 .

LCM of Denominators means LCM of 77,619 as per the given fractions.

LCM of 77,619 is 47663 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 535,754

GCF of Fractions 535/77,754/619 is 1/47663

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

Greatest Common Factor of 535,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,754 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 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 535,754 . The biggest common factor number is the GCF number.
So the greatest common factor 535,754 is 1.

Lets's calculate LCM of 77,619

Given numbers has no common factors except 1. So, there LCM is their product i.e 47663

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47663

Therefore, the GCF of Fractions 535/77,754/619 is 1/47663

Least Common Multiple of 77,619 with GCF Formula

Least Common Multiple of 77,619 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 77,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,619) = 1

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

GCF(77,619) x common factors =1 x 1 = 1

LCM(77,619) = ( 77 × 619 ) / 1

LCM(77,619) = 47663 / 1

LCM(77,619) = 47663


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 535/77, 754/619

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 535/77, 754/619?

Answer: GCF of Numerators as per given numbers 535/77, 754/619 is

GCF of Numerators i.e. for 535,754 is 1

LCM of denominators i.e. for 77,619 is 47663.

Thus, GCF of Fractions is 1/47663.Finally, GCF of Fractions for 535/77, 754/619 is 1/47663.