Greatest Common Factor of 83/19, 91/91, 21/10, 349/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/19, 91/91, 21/10, 349/10

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 83/19,91/91,21/10,349/10

Given fractions are 83/19,91/91,21/10,349/10

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 83,91,21,349

Greatest Common Factor of Numerators i.e. GCF of 83,91,21,349 is 1 .

LCM of Denominators means LCM of 19,91,10,10 as per the given fractions.

LCM of 19,91,10,10 is 17290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,91,21,349

GCF of Fractions 83/19,91/91,21/10,349/10 is 1/17290

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

Greatest Common Factor of 83,91,21,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,91,21,349 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors 83,91,21,349 . The biggest common factor number is the GCF number.
So the greatest common factor 83,91,21,349 is 1.

Lets's calculate LCM of 19,91,10,10

2 19, 91, 10, 10
5 19, 91, 5, 5
19, 91, 1, 1

∴ So the LCM of the given numbers is 2 x 5 x 19 x 91 x 1 x 1 = 17290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17290

Therefore, the GCF of Fractions 83/19,91/91,21/10,349/10 is 1/17290

Least Common Multiple of 19,91,10,10 with GCF Formula

Least Common Multiple of 19,91,10,10 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 19,91,10,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,91,10,10) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(19,91,10,10) x common factors =1 x 10 = 10

LCM(19,91,10,10) = ( 19 × 91 × 10 × 10 ) / 10

LCM(19,91,10,10) = 172900 / 10

LCM(19,91,10,10) = 17290


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 83/19, 91/91, 21/10, 349/10

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 83/19, 91/91, 21/10, 349/10?

Answer: GCF of Numerators as per given numbers 83/19, 91/91, 21/10, 349/10 is

GCF of Numerators i.e. for 83,91,21,349 is 1

LCM of denominators i.e. for 19,91,10,10 is 17290.

Thus, GCF of Fractions is 1/17290.Finally, GCF of Fractions for 83/19, 91/91, 21/10, 349/10 is 1/17290.