Greatest Common Factor of 321/450, 4119/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 321/450, 4119/858

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 321/450,4119/858

Given fractions are 321/450,4119/858

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 321,4119

Greatest Common Factor of Numerators i.e. GCF of 321,4119 is 3 .

LCM of Denominators means LCM of 450,858 as per the given fractions.

LCM of 450,858 is 64350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 321,4119

GCF of Fractions 321/450,4119/858 is 3/64350

3 321, 4119
107, 1373

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

Greatest Common Factor of 321,4119 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,4119 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 4119

List of positive integer factors of 4119 that divides 4119 without a remainder.

1,3,1373,4119

Greatest Common Factor

We found the factors 321,4119 . The biggest common factor number is the GCF number.
So the greatest common factor 321,4119 is 3.

Lets's calculate LCM of 450,858

2 450, 858
3 225, 429
75, 143

∴ So the LCM of the given numbers is 2 x 3 x 75 x 143 = 64350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/64350

Therefore, the GCF of Fractions 321/450,4119/858 is 3/64350

Least Common Multiple of 450,858 with GCF Formula

Least Common Multiple of 450,858 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 450,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,858) = 6

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

GCF(450,858) x common factors =6 x 1 = 6

LCM(450,858) = ( 450 × 858 ) / 6

LCM(450,858) = 386100 / 6

LCM(450,858) = 64350


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 321/450, 4119/858

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 321/450, 4119/858?

Answer: GCF of Numerators as per given numbers 321/450, 4119/858 is

GCF of Numerators i.e. for 321,4119 is 3

LCM of denominators i.e. for 450,858 is 64350.

Thus, GCF of Fractions is 3/64350.Finally, GCF of Fractions for 321/450, 4119/858 is 3/64350.