Greatest Common Factor of 144/82, 360/65, 769/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 144/82, 360/65, 769/167

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 144/82,360/65,769/167

Given fractions are 144/82,360/65,769/167

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 144,360,769

Greatest Common Factor of Numerators i.e. GCF of 144,360,769 is 1 .

LCM of Denominators means LCM of 82,65,167 as per the given fractions.

LCM of 82,65,167 is 890110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 144,360,769

GCF of Fractions 144/82,360/65,769/167 is 1/890110

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

Greatest Common Factor of 144,360,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,360,769 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

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

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 144,360,769 . The biggest common factor number is the GCF number.
So the greatest common factor 144,360,769 is 1.

Lets's calculate LCM of 82,65,167

Given numbers has no common factors except 1. So, there LCM is their product i.e 890110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/890110

Therefore, the GCF of Fractions 144/82,360/65,769/167 is 1/890110

Least Common Multiple of 82,65,167 with GCF Formula

Least Common Multiple of 82,65,167 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 82,65,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,65,167) = 1

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

GCF(82,65,167) x common factors =1 x 1 = 1

LCM(82,65,167) = ( 82 × 65 × 167 ) / 1

LCM(82,65,167) = 890110 / 1

LCM(82,65,167) = 890110


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 144/82, 360/65, 769/167

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 144/82, 360/65, 769/167?

Answer: GCF of Numerators as per given numbers 144/82, 360/65, 769/167 is

GCF of Numerators i.e. for 144,360,769 is 1

LCM of denominators i.e. for 82,65,167 is 890110.

Thus, GCF of Fractions is 1/890110.Finally, GCF of Fractions for 144/82, 360/65, 769/167 is 1/890110.