Greatest Common Factor of 396/51, 950/64, 618/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 396/51, 950/64, 618/408

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 396/51,950/64,618/408

Given fractions are 396/51,950/64,618/408

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 396,950,618

Greatest Common Factor of Numerators i.e. GCF of 396,950,618 is 2 .

LCM of Denominators means LCM of 51,64,408 as per the given fractions.

LCM of 51,64,408 is 3264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 396,950,618

GCF of Fractions 396/51,950/64,618/408 is 2/3264

2 396, 950, 618
198, 475, 309

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

Greatest Common Factor of 396,950,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,950,618 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 396,950,618 . The biggest common factor number is the GCF number.
So the greatest common factor 396,950,618 is 2.

Lets's calculate LCM of 51,64,408

2 51, 64, 408
2 51, 32, 204
2 51, 16, 102
3 51, 8, 51
17 17, 8, 17
1, 8, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 17 x 1 x 8 x 1 = 3264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3264

Therefore, the GCF of Fractions 396/51,950/64,618/408 is 2/3264

Least Common Multiple of 51,64,408 with GCF Formula

Least Common Multiple of 51,64,408 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 51,64,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,64,408) = 1

common factors(in case of two or more numbers have common factors) = 408

GCF(51,64,408) x common factors =1 x 408 = 408

LCM(51,64,408) = ( 51 × 64 × 408 ) / 408

LCM(51,64,408) = 1331712 / 408

LCM(51,64,408) = 3264


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 396/51, 950/64, 618/408

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 396/51, 950/64, 618/408?

Answer: GCF of Numerators as per given numbers 396/51, 950/64, 618/408 is

GCF of Numerators i.e. for 396,950,618 is 2

LCM of denominators i.e. for 51,64,408 is 3264.

Thus, GCF of Fractions is 2/3264.Finally, GCF of Fractions for 396/51, 950/64, 618/408 is 2/3264.