Greatest Common Factor of 4/91, 80/43, 65/651, 198/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/91, 80/43, 65/651, 198/522

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 4/91,80/43,65/651,198/522

Given fractions are 4/91,80/43,65/651,198/522

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 4,80,65,198

Greatest Common Factor of Numerators i.e. GCF of 4,80,65,198 is 1 .

LCM of Denominators means LCM of 91,43,651,522 as per the given fractions.

LCM of 91,43,651,522 is 63320166 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,80,65,198

GCF of Fractions 4/91,80/43,65/651,198/522 is 1/63320166

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

Greatest Common Factor of 4,80,65,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,80,65,198 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 65

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

1,5,13,65

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 4,80,65,198 . The biggest common factor number is the GCF number.
So the greatest common factor 4,80,65,198 is 1.

Lets's calculate LCM of 91,43,651,522

3 91, 43, 651, 522
7 91, 43, 217, 174
13, 43, 31, 174

∴ So the LCM of the given numbers is 3 x 7 x 13 x 43 x 31 x 174 = 63320166

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63320166

Therefore, the GCF of Fractions 4/91,80/43,65/651,198/522 is 1/63320166

Least Common Multiple of 91,43,651,522 with GCF Formula

Least Common Multiple of 91,43,651,522 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 91,43,651,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,43,651,522) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(91,43,651,522) x common factors =1 x 21 = 21

LCM(91,43,651,522) = ( 91 × 43 × 651 × 522 ) / 21

LCM(91,43,651,522) = 1329723486 / 21

LCM(91,43,651,522) = 63320166


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 4/91, 80/43, 65/651, 198/522

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 4/91, 80/43, 65/651, 198/522?

Answer: GCF of Numerators as per given numbers 4/91, 80/43, 65/651, 198/522 is

GCF of Numerators i.e. for 4,80,65,198 is 1

LCM of denominators i.e. for 91,43,651,522 is 63320166.

Thus, GCF of Fractions is 1/63320166.Finally, GCF of Fractions for 4/91, 80/43, 65/651, 198/522 is 1/63320166.