Greatest Common Factor of 66/32, 60/22, 292/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/32, 60/22, 292/344

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 66/32,60/22,292/344

Given fractions are 66/32,60/22,292/344

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 66,60,292

Greatest Common Factor of Numerators i.e. GCF of 66,60,292 is 2 .

LCM of Denominators means LCM of 32,22,344 as per the given fractions.

LCM of 32,22,344 is 15136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,60,292

GCF of Fractions 66/32,60/22,292/344 is 2/15136

2 66, 60, 292
33, 30, 146

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

Greatest Common Factor of 66,60,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,60,292 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 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 66,60,292 . The biggest common factor number is the GCF number.
So the greatest common factor 66,60,292 is 2.

Lets's calculate LCM of 32,22,344

2 32, 22, 344
2 16, 11, 172
2 8, 11, 86
4, 11, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 11 x 43 = 15136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15136

Therefore, the GCF of Fractions 66/32,60/22,292/344 is 2/15136

Least Common Multiple of 32,22,344 with GCF Formula

Least Common Multiple of 32,22,344 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 32,22,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,22,344) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(32,22,344) x common factors =2 x 8 = 16

LCM(32,22,344) = ( 32 × 22 × 344 ) / 16

LCM(32,22,344) = 242176 / 16

LCM(32,22,344) = 15136


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 66/32, 60/22, 292/344

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 66/32, 60/22, 292/344?

Answer: GCF of Numerators as per given numbers 66/32, 60/22, 292/344 is

GCF of Numerators i.e. for 66,60,292 is 2

LCM of denominators i.e. for 32,22,344 is 15136.

Thus, GCF of Fractions is 2/15136.Finally, GCF of Fractions for 66/32, 60/22, 292/344 is 2/15136.