Greatest Common Factor of 9719/21, 1716/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9719/21, 1716/149

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 9719/21,1716/149

Given fractions are 9719/21,1716/149

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 9719,1716

Greatest Common Factor of Numerators i.e. GCF of 9719,1716 is 1 .

LCM of Denominators means LCM of 21,149 as per the given fractions.

LCM of 21,149 is 3129 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9719,1716

GCF of Fractions 9719/21,1716/149 is 1/3129

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

Greatest Common Factor of 9719,1716 By Matching Biggest Common Factor Method

Greatest Common Factor of 9719,1716 By Matching Biggest Common Factor Method

Factors of 9719

List of positive integer factors of 9719 that divides 9719 without a remainder.

1,9719

Factors of 1716

List of positive integer factors of 1716 that divides 1716 without a remainder.

1,2,3,4,6,11,12,13,22,26,33,39,44,52,66,78,132,143,156,286,429,572,858,1716

Greatest Common Factor

We found the factors 9719,1716 . The biggest common factor number is the GCF number.
So the greatest common factor 9719,1716 is 1.

Lets's calculate LCM of 21,149

Given numbers has no common factors except 1. So, there LCM is their product i.e 3129

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3129

Therefore, the GCF of Fractions 9719/21,1716/149 is 1/3129

Least Common Multiple of 21,149 with GCF Formula

Least Common Multiple of 21,149 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 21,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,149) = 1

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

GCF(21,149) x common factors =1 x 1 = 1

LCM(21,149) = ( 21 × 149 ) / 1

LCM(21,149) = 3129 / 1

LCM(21,149) = 3129


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 9719/21, 1716/149

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 9719/21, 1716/149?

Answer: GCF of Numerators as per given numbers 9719/21, 1716/149 is

GCF of Numerators i.e. for 9719,1716 is 1

LCM of denominators i.e. for 21,149 is 3129.

Thus, GCF of Fractions is 1/3129.Finally, GCF of Fractions for 9719/21, 1716/149 is 1/3129.