Greatest Common Factor of 124/86, 144/96, 441/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 124/86, 144/96, 441/262

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 124/86,144/96,441/262

Given fractions are 124/86,144/96,441/262

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 124,144,441

Greatest Common Factor of Numerators i.e. GCF of 124,144,441 is 1 .

LCM of Denominators means LCM of 86,96,262 as per the given fractions.

LCM of 86,96,262 is 540768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 124,144,441

GCF of Fractions 124/86,144/96,441/262 is 1/540768

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

Greatest Common Factor of 124,144,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 124,144,441 By Matching Biggest Common Factor Method

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

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 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 124,144,441 . The biggest common factor number is the GCF number.
So the greatest common factor 124,144,441 is 1.

Lets's calculate LCM of 86,96,262

2 86, 96, 262
43, 48, 131

∴ So the LCM of the given numbers is 2 x 43 x 48 x 131 = 540768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/540768

Therefore, the GCF of Fractions 124/86,144/96,441/262 is 1/540768

Least Common Multiple of 86,96,262 with GCF Formula

Least Common Multiple of 86,96,262 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 86,96,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,96,262) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(86,96,262) x common factors =2 x 2 = 4

LCM(86,96,262) = ( 86 × 96 × 262 ) / 4

LCM(86,96,262) = 2163072 / 4

LCM(86,96,262) = 540768


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 124/86, 144/96, 441/262

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 124/86, 144/96, 441/262?

Answer: GCF of Numerators as per given numbers 124/86, 144/96, 441/262 is

GCF of Numerators i.e. for 124,144,441 is 1

LCM of denominators i.e. for 86,96,262 is 540768.

Thus, GCF of Fractions is 1/540768.Finally, GCF of Fractions for 124/86, 144/96, 441/262 is 1/540768.