Greatest Common Factor of 495/43, 9075/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 495/43, 9075/956

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 495/43,9075/956

Given fractions are 495/43,9075/956

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 495,9075

Greatest Common Factor of Numerators i.e. GCF of 495,9075 is 165 .

LCM of Denominators means LCM of 43,956 as per the given fractions.

LCM of 43,956 is 41108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 495,9075

GCF of Fractions 495/43,9075/956 is 165/41108

3 495, 9075
5 165, 3025
11 33, 605
3, 55

∴ So the GCF of the given numbers is 3 x 5 x 11 = 165

Greatest Common Factor of 495,9075 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,9075 By Matching Biggest Common Factor Method

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 9075

List of positive integer factors of 9075 that divides 9075 without a remainder.

1,3,5,11,15,25,33,55,75,121,165,275,363,605,825,1815,3025,9075

Greatest Common Factor

We found the factors 495,9075 . The biggest common factor number is the GCF number.
So the greatest common factor 495,9075 is 165.

Lets's calculate LCM of 43,956

Given numbers has no common factors except 1. So, there LCM is their product i.e 41108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 165/41108

Therefore, the GCF of Fractions 495/43,9075/956 is 165/41108

Least Common Multiple of 43,956 with GCF Formula

Least Common Multiple of 43,956 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 43,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,956) = 1

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

GCF(43,956) x common factors =1 x 1 = 1

LCM(43,956) = ( 43 × 956 ) / 1

LCM(43,956) = 41108 / 1

LCM(43,956) = 41108


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 495/43, 9075/956

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 495/43, 9075/956?

Answer: GCF of Numerators as per given numbers 495/43, 9075/956 is

GCF of Numerators i.e. for 495,9075 is 165

LCM of denominators i.e. for 43,956 is 41108.

Thus, GCF of Fractions is 165/41108.Finally, GCF of Fractions for 495/43, 9075/956 is 165/41108.