Greatest Common Factor of 4021/215, 1333/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 4021/215, 1333/456

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 4021/215,1333/456

Given fractions are 4021/215,1333/456

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 4021,1333

Greatest Common Factor of Numerators i.e. GCF of 4021,1333 is 1 .

LCM of Denominators means LCM of 215,456 as per the given fractions.

LCM of 215,456 is 98040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4021,1333

GCF of Fractions 4021/215,1333/456 is 1/98040

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4021,1333 By Matching Biggest Common Factor Method

Greatest Common Factor of 4021,1333 By Matching Biggest Common Factor Method

Factors of 4021

List of positive integer factors of 4021 that divides 4021 without a remainder.

1,4021

Factors of 1333

List of positive integer factors of 1333 that divides 1333 without a remainder.

1,31,43,1333

Greatest Common Factor

We found the factors 4021,1333 . The biggest common factor number is the GCF number.
So the greatest common factor 4021,1333 is 1.


Lets's calculate LCM of 215,456

Given numbers has no common factors except 1. So, there LCM is their product i.e 98040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98040

Therefore, the GCF of Fractions 4021/215,1333/456 is 1/98040

Least Common Multiple of 215,456 with GCF Formula

Least Common Multiple of 215,456 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 215,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,456) = 1

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

GCF(215,456) x common factors =1 x 1 = 1

LCM(215,456) = ( 215 × 456 ) / 1

LCM(215,456) = 98040 / 1

LCM(215,456) = 98040


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 4021/215, 1333/456

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 4021/215, 1333/456?

Answer: GCF of Numerators as per given numbers 4021/215, 1333/456 is

GCF of Numerators i.e. for 4021,1333 is 1

LCM of denominators i.e. for 215,456 is 98040.

Thus, GCF of Fractions is 1/98040.Finally, GCF of Fractions for 4021/215, 1333/456 is 1/98040.