Greatest Common Factor of 659/31, 355/66, 733/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 659/31, 355/66, 733/220

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 659/31,355/66,733/220

Given fractions are 659/31,355/66,733/220

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 659,355,733

Greatest Common Factor of Numerators i.e. GCF of 659,355,733 is 1 .

LCM of Denominators means LCM of 31,66,220 as per the given fractions.

LCM of 31,66,220 is 20460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 659,355,733

GCF of Fractions 659/31,355/66,733/220 is 1/20460

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

Greatest Common Factor of 659,355,733 By Matching Biggest Common Factor Method

Greatest Common Factor of 659,355,733 By Matching Biggest Common Factor Method

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Greatest Common Factor

We found the factors 659,355,733 . The biggest common factor number is the GCF number.
So the greatest common factor 659,355,733 is 1.

Lets's calculate LCM of 31,66,220

2 31, 66, 220
11 31, 33, 110
31, 3, 10

∴ So the LCM of the given numbers is 2 x 11 x 31 x 3 x 10 = 20460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20460

Therefore, the GCF of Fractions 659/31,355/66,733/220 is 1/20460

Least Common Multiple of 31,66,220 with GCF Formula

Least Common Multiple of 31,66,220 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 31,66,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,66,220) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(31,66,220) x common factors =1 x 22 = 22

LCM(31,66,220) = ( 31 × 66 × 220 ) / 22

LCM(31,66,220) = 450120 / 22

LCM(31,66,220) = 20460


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 659/31, 355/66, 733/220

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 659/31, 355/66, 733/220?

Answer: GCF of Numerators as per given numbers 659/31, 355/66, 733/220 is

GCF of Numerators i.e. for 659,355,733 is 1

LCM of denominators i.e. for 31,66,220 is 20460.

Thus, GCF of Fractions is 1/20460.Finally, GCF of Fractions for 659/31, 355/66, 733/220 is 1/20460.