Greatest Common Factor of 238/324, 409/988, 416/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 238/324, 409/988, 416/536

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 238/324,409/988,416/536

Given fractions are 238/324,409/988,416/536

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 238,409,416

Greatest Common Factor of Numerators i.e. GCF of 238,409,416 is 1 .

LCM of Denominators means LCM of 324,988,536 as per the given fractions.

LCM of 324,988,536 is 10723752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 238,409,416

GCF of Fractions 238/324,409/988,416/536 is 1/10723752

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

Greatest Common Factor of 238,409,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,409,416 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 238,409,416 . The biggest common factor number is the GCF number.
So the greatest common factor 238,409,416 is 1.

Lets's calculate LCM of 324,988,536

2 324, 988, 536
2 162, 494, 268
81, 247, 134

∴ So the LCM of the given numbers is 2 x 2 x 81 x 247 x 134 = 10723752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10723752

Therefore, the GCF of Fractions 238/324,409/988,416/536 is 1/10723752

Least Common Multiple of 324,988,536 with GCF Formula

Least Common Multiple of 324,988,536 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 324,988,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,988,536) = 4

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

GCF(324,988,536) x common factors =4 x 4 = 16

LCM(324,988,536) = ( 324 × 988 × 536 ) / 16

LCM(324,988,536) = 171580032 / 16

LCM(324,988,536) = 10723752


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 238/324, 409/988, 416/536

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 238/324, 409/988, 416/536?

Answer: GCF of Numerators as per given numbers 238/324, 409/988, 416/536 is

GCF of Numerators i.e. for 238,409,416 is 1

LCM of denominators i.e. for 324,988,536 is 10723752.

Thus, GCF of Fractions is 1/10723752.Finally, GCF of Fractions for 238/324, 409/988, 416/536 is 1/10723752.