Greatest Common Factor of 84/365, 32/269, 960/229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/365, 32/269, 960/229

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 84/365,32/269,960/229

Given fractions are 84/365,32/269,960/229

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 84,32,960

Greatest Common Factor of Numerators i.e. GCF of 84,32,960 is 4 .

LCM of Denominators means LCM of 365,269,229 as per the given fractions.

LCM of 365,269,229 is 22484365 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,32,960

GCF of Fractions 84/365,32/269,960/229 is 4/22484365

2 84, 32, 960
2 42, 16, 480
21, 8, 240

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 84,32,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,32,960 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 84,32,960 . The biggest common factor number is the GCF number.
So the greatest common factor 84,32,960 is 4.

Lets's calculate LCM of 365,269,229

Given numbers has no common factors except 1. So, there LCM is their product i.e 22484365

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/22484365

Therefore, the GCF of Fractions 84/365,32/269,960/229 is 4/22484365

Least Common Multiple of 365,269,229 with GCF Formula

Least Common Multiple of 365,269,229 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 365,269,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,269,229) = 1

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

GCF(365,269,229) x common factors =1 x 1 = 1

LCM(365,269,229) = ( 365 × 269 × 229 ) / 1

LCM(365,269,229) = 22484365 / 1

LCM(365,269,229) = 22484365


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 84/365, 32/269, 960/229

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 84/365, 32/269, 960/229?

Answer: GCF of Numerators as per given numbers 84/365, 32/269, 960/229 is

GCF of Numerators i.e. for 84,32,960 is 4

LCM of denominators i.e. for 365,269,229 is 22484365.

Thus, GCF of Fractions is 4/22484365.Finally, GCF of Fractions for 84/365, 32/269, 960/229 is 4/22484365.