Greatest Common Factor of 1716/668, 6383/9373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1716/668, 6383/9373

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 1716/668,6383/9373

Given fractions are 1716/668,6383/9373

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 1716,6383

Greatest Common Factor of Numerators i.e. GCF of 1716,6383 is 13 .

LCM of Denominators means LCM of 668,9373 as per the given fractions.

LCM of 668,9373 is 6261164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1716,6383

GCF of Fractions 1716/668,6383/9373 is 13/6261164

13 1716, 6383
132, 491

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 1716,6383 By Matching Biggest Common Factor Method

Greatest Common Factor of 1716,6383 By Matching Biggest Common Factor Method

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

Factors of 6383

List of positive integer factors of 6383 that divides 6383 without a remainder.

1,13,491,6383

Greatest Common Factor

We found the factors 1716,6383 . The biggest common factor number is the GCF number.
So the greatest common factor 1716,6383 is 13.

Lets's calculate LCM of 668,9373

Given numbers has no common factors except 1. So, there LCM is their product i.e 6261164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/6261164

Therefore, the GCF of Fractions 1716/668,6383/9373 is 13/6261164

Least Common Multiple of 668,9373 with GCF Formula

Least Common Multiple of 668,9373 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 668,9373 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,9373) = 1

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

GCF(668,9373) x common factors =1 x 1 = 1

LCM(668,9373) = ( 668 × 9373 ) / 1

LCM(668,9373) = 6261164 / 1

LCM(668,9373) = 6261164


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 1716/668, 6383/9373

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 1716/668, 6383/9373?

Answer: GCF of Numerators as per given numbers 1716/668, 6383/9373 is

GCF of Numerators i.e. for 1716,6383 is 13

LCM of denominators i.e. for 668,9373 is 6261164.

Thus, GCF of Fractions is 13/6261164.Finally, GCF of Fractions for 1716/668, 6383/9373 is 13/6261164.