Greatest Common Factor of 3187/47, 9692/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3187/47, 9692/736

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 3187/47,9692/736

Given fractions are 3187/47,9692/736

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 3187,9692

Greatest Common Factor of Numerators i.e. GCF of 3187,9692 is 1 .

LCM of Denominators means LCM of 47,736 as per the given fractions.

LCM of 47,736 is 34592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3187,9692

GCF of Fractions 3187/47,9692/736 is 1/34592

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

Greatest Common Factor of 3187,9692 By Matching Biggest Common Factor Method

Greatest Common Factor of 3187,9692 By Matching Biggest Common Factor Method

Factors of 3187

List of positive integer factors of 3187 that divides 3187 without a remainder.

1,3187

Factors of 9692

List of positive integer factors of 9692 that divides 9692 without a remainder.

1,2,4,2423,4846,9692

Greatest Common Factor

We found the factors 3187,9692 . The biggest common factor number is the GCF number.
So the greatest common factor 3187,9692 is 1.

Lets's calculate LCM of 47,736

Given numbers has no common factors except 1. So, there LCM is their product i.e 34592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34592

Therefore, the GCF of Fractions 3187/47,9692/736 is 1/34592

Least Common Multiple of 47,736 with GCF Formula

Least Common Multiple of 47,736 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 47,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,736) = 1

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

GCF(47,736) x common factors =1 x 1 = 1

LCM(47,736) = ( 47 × 736 ) / 1

LCM(47,736) = 34592 / 1

LCM(47,736) = 34592


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 3187/47, 9692/736

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 3187/47, 9692/736?

Answer: GCF of Numerators as per given numbers 3187/47, 9692/736 is

GCF of Numerators i.e. for 3187,9692 is 1

LCM of denominators i.e. for 47,736 is 34592.

Thus, GCF of Fractions is 1/34592.Finally, GCF of Fractions for 3187/47, 9692/736 is 1/34592.