Greatest Common Factor of 51/441, 408/485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 51/441, 408/485

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 51/441,408/485

Given fractions are 51/441,408/485

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 51,408

Greatest Common Factor of Numerators i.e. GCF of 51,408 is 51 .

LCM of Denominators means LCM of 441,485 as per the given fractions.

LCM of 441,485 is 213885 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 51,408

GCF of Fractions 51/441,408/485 is 51/213885

3 51, 408
17 17, 136
1, 8

∴ So the GCF of the given numbers is 3 x 17 = 51

Greatest Common Factor of 51,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,408 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 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 51,408 . The biggest common factor number is the GCF number.
So the greatest common factor 51,408 is 51.

Lets's calculate LCM of 441,485

Given numbers has no common factors except 1. So, there LCM is their product i.e 213885

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/213885

Therefore, the GCF of Fractions 51/441,408/485 is 51/213885

Least Common Multiple of 441,485 with GCF Formula

Least Common Multiple of 441,485 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 441,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(441,485) = 1

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

GCF(441,485) x common factors =1 x 1 = 1

LCM(441,485) = ( 441 × 485 ) / 1

LCM(441,485) = 213885 / 1

LCM(441,485) = 213885


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 51/441, 408/485

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 51/441, 408/485?

Answer: GCF of Numerators as per given numbers 51/441, 408/485 is

GCF of Numerators i.e. for 51,408 is 51

LCM of denominators i.e. for 441,485 is 213885.

Thus, GCF of Fractions is 51/213885.Finally, GCF of Fractions for 51/441, 408/485 is 51/213885.