Greatest Common Factor of 535/746, 3839/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 535/746, 3839/825

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 535/746,3839/825

Given fractions are 535/746,3839/825

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 535,3839

Greatest Common Factor of Numerators i.e. GCF of 535,3839 is 1 .

LCM of Denominators means LCM of 746,825 as per the given fractions.

LCM of 746,825 is 615450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 535,3839

GCF of Fractions 535/746,3839/825 is 1/615450

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

Greatest Common Factor of 535,3839 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,3839 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 3839

List of positive integer factors of 3839 that divides 3839 without a remainder.

1,11,349,3839

Greatest Common Factor

We found the factors 535,3839 . The biggest common factor number is the GCF number.
So the greatest common factor 535,3839 is 1.

Lets's calculate LCM of 746,825

Given numbers has no common factors except 1. So, there LCM is their product i.e 615450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/615450

Therefore, the GCF of Fractions 535/746,3839/825 is 1/615450

Least Common Multiple of 746,825 with GCF Formula

Least Common Multiple of 746,825 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 746,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,825) = 1

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

GCF(746,825) x common factors =1 x 1 = 1

LCM(746,825) = ( 746 × 825 ) / 1

LCM(746,825) = 615450 / 1

LCM(746,825) = 615450


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 535/746, 3839/825

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 535/746, 3839/825?

Answer: GCF of Numerators as per given numbers 535/746, 3839/825 is

GCF of Numerators i.e. for 535,3839 is 1

LCM of denominators i.e. for 746,825 is 615450.

Thus, GCF of Fractions is 1/615450.Finally, GCF of Fractions for 535/746, 3839/825 is 1/615450.