Greatest Common Factor of 12/64, 122/68, 720/151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/64, 122/68, 720/151

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 12/64,122/68,720/151

Given fractions are 12/64,122/68,720/151

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 12,122,720

Greatest Common Factor of Numerators i.e. GCF of 12,122,720 is 2 .

LCM of Denominators means LCM of 64,68,151 as per the given fractions.

LCM of 64,68,151 is 164288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,122,720

GCF of Fractions 12/64,122/68,720/151 is 2/164288

2 12, 122, 720
6, 61, 360

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

Greatest Common Factor of 12,122,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,122,720 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 12,122,720 . The biggest common factor number is the GCF number.
So the greatest common factor 12,122,720 is 2.

Lets's calculate LCM of 64,68,151

2 64, 68, 151
2 32, 34, 151
16, 17, 151

∴ So the LCM of the given numbers is 2 x 2 x 16 x 17 x 151 = 164288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/164288

Therefore, the GCF of Fractions 12/64,122/68,720/151 is 2/164288

Least Common Multiple of 64,68,151 with GCF Formula

Least Common Multiple of 64,68,151 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 64,68,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,68,151) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,68,151) x common factors =1 x 4 = 4

LCM(64,68,151) = ( 64 × 68 × 151 ) / 4

LCM(64,68,151) = 657152 / 4

LCM(64,68,151) = 164288


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 12/64, 122/68, 720/151

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 12/64, 122/68, 720/151?

Answer: GCF of Numerators as per given numbers 12/64, 122/68, 720/151 is

GCF of Numerators i.e. for 12,122,720 is 2

LCM of denominators i.e. for 64,68,151 is 164288.

Thus, GCF of Fractions is 2/164288.Finally, GCF of Fractions for 12/64, 122/68, 720/151 is 2/164288.