Greatest Common Factor of 71/65, 95/18, 12/84, 78/229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/65, 95/18, 12/84, 78/229

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 71/65,95/18,12/84,78/229

Given fractions are 71/65,95/18,12/84,78/229

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 71,95,12,78

Greatest Common Factor of Numerators i.e. GCF of 71,95,12,78 is 1 .

LCM of Denominators means LCM of 65,18,84,229 as per the given fractions.

LCM of 65,18,84,229 is 3751020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,95,12,78

GCF of Fractions 71/65,95/18,12/84,78/229 is 1/3751020

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

Greatest Common Factor of 71,95,12,78 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,95,12,78 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 95

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

1,5,19,95

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Greatest Common Factor

We found the factors 71,95,12,78 . The biggest common factor number is the GCF number.
So the greatest common factor 71,95,12,78 is 1.

Lets's calculate LCM of 65,18,84,229

2 65, 18, 84, 229
3 65, 9, 42, 229
65, 3, 14, 229

∴ So the LCM of the given numbers is 2 x 3 x 65 x 3 x 14 x 229 = 3751020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3751020

Therefore, the GCF of Fractions 71/65,95/18,12/84,78/229 is 1/3751020

Least Common Multiple of 65,18,84,229 with GCF Formula

Least Common Multiple of 65,18,84,229 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 65,18,84,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,18,84,229) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(65,18,84,229) x common factors =1 x 6 = 6

LCM(65,18,84,229) = ( 65 × 18 × 84 × 229 ) / 6

LCM(65,18,84,229) = 22506120 / 6

LCM(65,18,84,229) = 3751020


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 71/65, 95/18, 12/84, 78/229

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 71/65, 95/18, 12/84, 78/229?

Answer: GCF of Numerators as per given numbers 71/65, 95/18, 12/84, 78/229 is

GCF of Numerators i.e. for 71,95,12,78 is 1

LCM of denominators i.e. for 65,18,84,229 is 3751020.

Thus, GCF of Fractions is 1/3751020.Finally, GCF of Fractions for 71/65, 95/18, 12/84, 78/229 is 1/3751020.