Greatest Common Factor of 110/67, 539/75, 653/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 110/67, 539/75, 653/953

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 110/67,539/75,653/953

Given fractions are 110/67,539/75,653/953

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 110,539,653

Greatest Common Factor of Numerators i.e. GCF of 110,539,653 is 1 .

LCM of Denominators means LCM of 67,75,953 as per the given fractions.

LCM of 67,75,953 is 4788825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 110,539,653

GCF of Fractions 110/67,539/75,653/953 is 1/4788825

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

Greatest Common Factor of 110,539,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,539,653 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Greatest Common Factor

We found the factors 110,539,653 . The biggest common factor number is the GCF number.
So the greatest common factor 110,539,653 is 1.

Lets's calculate LCM of 67,75,953

Given numbers has no common factors except 1. So, there LCM is their product i.e 4788825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4788825

Therefore, the GCF of Fractions 110/67,539/75,653/953 is 1/4788825

Least Common Multiple of 67,75,953 with GCF Formula

Least Common Multiple of 67,75,953 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 67,75,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,75,953) = 1

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

GCF(67,75,953) x common factors =1 x 1 = 1

LCM(67,75,953) = ( 67 × 75 × 953 ) / 1

LCM(67,75,953) = 4788825 / 1

LCM(67,75,953) = 4788825


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 110/67, 539/75, 653/953

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 110/67, 539/75, 653/953?

Answer: GCF of Numerators as per given numbers 110/67, 539/75, 653/953 is

GCF of Numerators i.e. for 110,539,653 is 1

LCM of denominators i.e. for 67,75,953 is 4788825.

Thus, GCF of Fractions is 1/4788825.Finally, GCF of Fractions for 110/67, 539/75, 653/953 is 1/4788825.