Greatest Common Factor of 66/20, 400/23, 632/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/20, 400/23, 632/129

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 66/20,400/23,632/129

Given fractions are 66/20,400/23,632/129

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 66,400,632

Greatest Common Factor of Numerators i.e. GCF of 66,400,632 is 2 .

LCM of Denominators means LCM of 20,23,129 as per the given fractions.

LCM of 20,23,129 is 59340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,400,632

GCF of Fractions 66/20,400/23,632/129 is 2/59340

2 66, 400, 632
33, 200, 316

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 66,400,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,400,632 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 66,400,632 . The biggest common factor number is the GCF number.
So the greatest common factor 66,400,632 is 2.

Lets's calculate LCM of 20,23,129

Given numbers has no common factors except 1. So, there LCM is their product i.e 59340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59340

Therefore, the GCF of Fractions 66/20,400/23,632/129 is 2/59340

Least Common Multiple of 20,23,129 with GCF Formula

Least Common Multiple of 20,23,129 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 20,23,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,23,129) = 1

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

GCF(20,23,129) x common factors =1 x 1 = 1

LCM(20,23,129) = ( 20 × 23 × 129 ) / 1

LCM(20,23,129) = 59340 / 1

LCM(20,23,129) = 59340


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 66/20, 400/23, 632/129

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 66/20, 400/23, 632/129?

Answer: GCF of Numerators as per given numbers 66/20, 400/23, 632/129 is

GCF of Numerators i.e. for 66,400,632 is 2

LCM of denominators i.e. for 20,23,129 is 59340.

Thus, GCF of Fractions is 2/59340.Finally, GCF of Fractions for 66/20, 400/23, 632/129 is 2/59340.