Greatest Common Factor of 955/243, 110/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 955/243, 110/675

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 955/243,110/675

Given fractions are 955/243,110/675

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 955,110

Greatest Common Factor of Numerators i.e. GCF of 955,110 is 5 .

LCM of Denominators means LCM of 243,675 as per the given fractions.

LCM of 243,675 is 6075 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 955,110

GCF of Fractions 955/243,110/675 is 5/6075

5 955, 110
191, 22

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 955,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 955,110 By Matching Biggest Common Factor Method

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Factors of 110

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

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

Greatest Common Factor

We found the factors 955,110 . The biggest common factor number is the GCF number.
So the greatest common factor 955,110 is 5.

Lets's calculate LCM of 243,675

3 243, 675
3 81, 225
3 27, 75
9, 25

∴ So the LCM of the given numbers is 3 x 3 x 3 x 9 x 25 = 6075

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6075

Therefore, the GCF of Fractions 955/243,110/675 is 5/6075

Least Common Multiple of 243,675 with GCF Formula

Least Common Multiple of 243,675 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 243,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,675) = 27

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

GCF(243,675) x common factors =27 x 1 = 27

LCM(243,675) = ( 243 × 675 ) / 27

LCM(243,675) = 164025 / 27

LCM(243,675) = 6075


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 955/243, 110/675

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 955/243, 110/675?

Answer: GCF of Numerators as per given numbers 955/243, 110/675 is

GCF of Numerators i.e. for 955,110 is 5

LCM of denominators i.e. for 243,675 is 6075.

Thus, GCF of Fractions is 5/6075.Finally, GCF of Fractions for 955/243, 110/675 is 5/6075.