Greatest Common Factor of 124/312, 468/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 124/312, 468/418

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 124/312,468/418

Given fractions are 124/312,468/418

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 124,468

Greatest Common Factor of Numerators i.e. GCF of 124,468 is 4 .

LCM of Denominators means LCM of 312,418 as per the given fractions.

LCM of 312,418 is 65208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 124,468

GCF of Fractions 124/312,468/418 is 4/65208

2 124, 468
2 62, 234
31, 117

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

Greatest Common Factor of 124,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 124,468 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 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 124,468 . The biggest common factor number is the GCF number.
So the greatest common factor 124,468 is 4.

Lets's calculate LCM of 312,418

2 312, 418
156, 209

∴ So the LCM of the given numbers is 2 x 156 x 209 = 65208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/65208

Therefore, the GCF of Fractions 124/312,468/418 is 4/65208

Least Common Multiple of 312,418 with GCF Formula

Least Common Multiple of 312,418 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 312,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,418) = 2

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

GCF(312,418) x common factors =2 x 1 = 2

LCM(312,418) = ( 312 × 418 ) / 2

LCM(312,418) = 130416 / 2

LCM(312,418) = 65208


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 124/312, 468/418

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 124/312, 468/418?

Answer: GCF of Numerators as per given numbers 124/312, 468/418 is

GCF of Numerators i.e. for 124,468 is 4

LCM of denominators i.e. for 312,418 is 65208.

Thus, GCF of Fractions is 4/65208.Finally, GCF of Fractions for 124/312, 468/418 is 4/65208.