Greatest Common Factor of 51/924, 396/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 51/924, 396/409

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 51/924,396/409

Given fractions are 51/924,396/409

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 51,396

Greatest Common Factor of Numerators i.e. GCF of 51,396 is 3 .

LCM of Denominators means LCM of 924,409 as per the given fractions.

LCM of 924,409 is 377916 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 51,396

GCF of Fractions 51/924,396/409 is 3/377916

3 51, 396
17, 132

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 51,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,396 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

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

Greatest Common Factor

We found the factors 51,396 . The biggest common factor number is the GCF number.
So the greatest common factor 51,396 is 3.

Lets's calculate LCM of 924,409

Given numbers has no common factors except 1. So, there LCM is their product i.e 377916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/377916

Therefore, the GCF of Fractions 51/924,396/409 is 3/377916

Least Common Multiple of 924,409 with GCF Formula

Least Common Multiple of 924,409 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 924,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,409) = 1

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

GCF(924,409) x common factors =1 x 1 = 1

LCM(924,409) = ( 924 × 409 ) / 1

LCM(924,409) = 377916 / 1

LCM(924,409) = 377916


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 51/924, 396/409

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 51/924, 396/409?

Answer: GCF of Numerators as per given numbers 51/924, 396/409 is

GCF of Numerators i.e. for 51,396 is 3

LCM of denominators i.e. for 924,409 is 377916.

Thus, GCF of Fractions is 3/377916.Finally, GCF of Fractions for 51/924, 396/409 is 3/377916.