Greatest Common Factor of 418/24, 556/51, 302/58

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 418/24, 556/51, 302/58

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 418/24,556/51,302/58

Given fractions are 418/24,556/51,302/58

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 418,556,302

Greatest Common Factor of Numerators i.e. GCF of 418,556,302 is 2 .

LCM of Denominators means LCM of 24,51,58 as per the given fractions.

LCM of 24,51,58 is 11832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 418,556,302

GCF of Fractions 418/24,556/51,302/58 is 2/11832

2 418, 556, 302
209, 278, 151

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

Greatest Common Factor of 418,556,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,556,302 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 418,556,302 . The biggest common factor number is the GCF number.
So the greatest common factor 418,556,302 is 2.

Lets's calculate LCM of 24,51,58

2 24, 51, 58
3 12, 51, 29
4, 17, 29

∴ So the LCM of the given numbers is 2 x 3 x 4 x 17 x 29 = 11832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11832

Therefore, the GCF of Fractions 418/24,556/51,302/58 is 2/11832

Least Common Multiple of 24,51,58 with GCF Formula

Least Common Multiple of 24,51,58 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 24,51,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,51,58) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(24,51,58) x common factors =1 x 6 = 6

LCM(24,51,58) = ( 24 × 51 × 58 ) / 6

LCM(24,51,58) = 70992 / 6

LCM(24,51,58) = 11832


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 418/24, 556/51, 302/58

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 418/24, 556/51, 302/58?

Answer: GCF of Numerators as per given numbers 418/24, 556/51, 302/58 is

GCF of Numerators i.e. for 418,556,302 is 2

LCM of denominators i.e. for 24,51,58 is 11832.

Thus, GCF of Fractions is 2/11832.Finally, GCF of Fractions for 418/24, 556/51, 302/58 is 2/11832.