Greatest Common Factor of 4697/660, 7186/9843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4697/660, 7186/9843

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 4697/660,7186/9843

Given fractions are 4697/660,7186/9843

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 4697,7186

Greatest Common Factor of Numerators i.e. GCF of 4697,7186 is 1 .

LCM of Denominators means LCM of 660,9843 as per the given fractions.

LCM of 660,9843 is 2165460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4697,7186

GCF of Fractions 4697/660,7186/9843 is 1/2165460

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

Greatest Common Factor of 4697,7186 By Matching Biggest Common Factor Method

Greatest Common Factor of 4697,7186 By Matching Biggest Common Factor Method

Factors of 4697

List of positive integer factors of 4697 that divides 4697 without a remainder.

1,7,11,61,77,427,671,4697

Factors of 7186

List of positive integer factors of 7186 that divides 7186 without a remainder.

1,2,3593,7186

Greatest Common Factor

We found the factors 4697,7186 . The biggest common factor number is the GCF number.
So the greatest common factor 4697,7186 is 1.

Lets's calculate LCM of 660,9843

3 660, 9843
220, 3281

∴ So the LCM of the given numbers is 3 x 220 x 3281 = 2165460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2165460

Therefore, the GCF of Fractions 4697/660,7186/9843 is 1/2165460

Least Common Multiple of 660,9843 with GCF Formula

Least Common Multiple of 660,9843 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 660,9843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,9843) = 3

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

GCF(660,9843) x common factors =3 x 1 = 3

LCM(660,9843) = ( 660 × 9843 ) / 3

LCM(660,9843) = 6496380 / 3

LCM(660,9843) = 2165460


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 4697/660, 7186/9843

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 4697/660, 7186/9843?

Answer: GCF of Numerators as per given numbers 4697/660, 7186/9843 is

GCF of Numerators i.e. for 4697,7186 is 1

LCM of denominators i.e. for 660,9843 is 2165460.

Thus, GCF of Fractions is 1/2165460.Finally, GCF of Fractions for 4697/660, 7186/9843 is 1/2165460.