Greatest Common Factor of 65/51, 25/58, 93/89, 12/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/51, 25/58, 93/89, 12/707

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 65/51,25/58,93/89,12/707

Given fractions are 65/51,25/58,93/89,12/707

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 65,25,93,12

Greatest Common Factor of Numerators i.e. GCF of 65,25,93,12 is 1 .

LCM of Denominators means LCM of 51,58,89,707 as per the given fractions.

LCM of 51,58,89,707 is 186126234 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,25,93,12

GCF of Fractions 65/51,25/58,93/89,12/707 is 1/186126234

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

Greatest Common Factor of 65,25,93,12 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,25,93,12 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 93

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

1,3,31,93

Factors of 12

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

1,2,3,4,6,12

Greatest Common Factor

We found the factors 65,25,93,12 . The biggest common factor number is the GCF number.
So the greatest common factor 65,25,93,12 is 1.

Lets's calculate LCM of 51,58,89,707

Given numbers has no common factors except 1. So, there LCM is their product i.e 186126234

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186126234

Therefore, the GCF of Fractions 65/51,25/58,93/89,12/707 is 1/186126234

Least Common Multiple of 51,58,89,707 with GCF Formula

Least Common Multiple of 51,58,89,707 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 51,58,89,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,58,89,707) = 1

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

GCF(51,58,89,707) x common factors =1 x 1 = 1

LCM(51,58,89,707) = ( 51 × 58 × 89 × 707 ) / 1

LCM(51,58,89,707) = 186126234 / 1

LCM(51,58,89,707) = 186126234


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 65/51, 25/58, 93/89, 12/707

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 65/51, 25/58, 93/89, 12/707?

Answer: GCF of Numerators as per given numbers 65/51, 25/58, 93/89, 12/707 is

GCF of Numerators i.e. for 65,25,93,12 is 1

LCM of denominators i.e. for 51,58,89,707 is 186126234.

Thus, GCF of Fractions is 1/186126234.Finally, GCF of Fractions for 65/51, 25/58, 93/89, 12/707 is 1/186126234.