Greatest Common Factor of 95/55, 81/12, 93/51, 85/539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/55, 81/12, 93/51, 85/539

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 95/55,81/12,93/51,85/539

Given fractions are 95/55,81/12,93/51,85/539

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 95,81,93,85

Greatest Common Factor of Numerators i.e. GCF of 95,81,93,85 is 1 .

LCM of Denominators means LCM of 55,12,51,539 as per the given fractions.

LCM of 55,12,51,539 is 549780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,81,93,85

GCF of Fractions 95/55,81/12,93/51,85/539 is 1/549780

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

Greatest Common Factor of 95,81,93,85 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,81,93,85 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Greatest Common Factor

We found the factors 95,81,93,85 . The biggest common factor number is the GCF number.
So the greatest common factor 95,81,93,85 is 1.

Lets's calculate LCM of 55,12,51,539

3 55, 12, 51, 539
11 55, 4, 17, 539
5, 4, 17, 49

∴ So the LCM of the given numbers is 3 x 11 x 5 x 4 x 17 x 49 = 549780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/549780

Therefore, the GCF of Fractions 95/55,81/12,93/51,85/539 is 1/549780

Least Common Multiple of 55,12,51,539 with GCF Formula

Least Common Multiple of 55,12,51,539 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 55,12,51,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,12,51,539) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(55,12,51,539) x common factors =1 x 33 = 33

LCM(55,12,51,539) = ( 55 × 12 × 51 × 539 ) / 33

LCM(55,12,51,539) = 18142740 / 33

LCM(55,12,51,539) = 549780


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 95/55, 81/12, 93/51, 85/539

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 95/55, 81/12, 93/51, 85/539?

Answer: GCF of Numerators as per given numbers 95/55, 81/12, 93/51, 85/539 is

GCF of Numerators i.e. for 95,81,93,85 is 1

LCM of denominators i.e. for 55,12,51,539 is 549780.

Thus, GCF of Fractions is 1/549780.Finally, GCF of Fractions for 95/55, 81/12, 93/51, 85/539 is 1/549780.