Greatest Common Factor of 660/86, 392/47, 105/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 660/86, 392/47, 105/210

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 660/86,392/47,105/210

Given fractions are 660/86,392/47,105/210

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 660,392,105

Greatest Common Factor of Numerators i.e. GCF of 660,392,105 is 1 .

LCM of Denominators means LCM of 86,47,210 as per the given fractions.

LCM of 86,47,210 is 424410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 660,392,105

GCF of Fractions 660/86,392/47,105/210 is 1/424410

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

Greatest Common Factor of 660,392,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,392,105 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 660,392,105 . The biggest common factor number is the GCF number.
So the greatest common factor 660,392,105 is 1.

Lets's calculate LCM of 86,47,210

2 86, 47, 210
43, 47, 105

∴ So the LCM of the given numbers is 2 x 43 x 47 x 105 = 424410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/424410

Therefore, the GCF of Fractions 660/86,392/47,105/210 is 1/424410

Least Common Multiple of 86,47,210 with GCF Formula

Least Common Multiple of 86,47,210 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 86,47,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,47,210) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(86,47,210) x common factors =1 x 2 = 2

LCM(86,47,210) = ( 86 × 47 × 210 ) / 2

LCM(86,47,210) = 848820 / 2

LCM(86,47,210) = 424410


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 660/86, 392/47, 105/210

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 660/86, 392/47, 105/210?

Answer: GCF of Numerators as per given numbers 660/86, 392/47, 105/210 is

GCF of Numerators i.e. for 660,392,105 is 1

LCM of denominators i.e. for 86,47,210 is 424410.

Thus, GCF of Fractions is 1/424410.Finally, GCF of Fractions for 660/86, 392/47, 105/210 is 1/424410.