Greatest Common Factor of 8067/280, 4021/8978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8067/280, 4021/8978

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 8067/280,4021/8978

Given fractions are 8067/280,4021/8978

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 8067,4021

Greatest Common Factor of Numerators i.e. GCF of 8067,4021 is 1 .

LCM of Denominators means LCM of 280,8978 as per the given fractions.

LCM of 280,8978 is 1256920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8067,4021

GCF of Fractions 8067/280,4021/8978 is 1/1256920

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

Greatest Common Factor of 8067,4021 By Matching Biggest Common Factor Method

Greatest Common Factor of 8067,4021 By Matching Biggest Common Factor Method

Factors of 8067

List of positive integer factors of 8067 that divides 8067 without a remainder.

1,3,2689,8067

Factors of 4021

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

1,4021

Greatest Common Factor

We found the factors 8067,4021 . The biggest common factor number is the GCF number.
So the greatest common factor 8067,4021 is 1.

Lets's calculate LCM of 280,8978

2 280, 8978
140, 4489

∴ So the LCM of the given numbers is 2 x 140 x 4489 = 1256920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1256920

Therefore, the GCF of Fractions 8067/280,4021/8978 is 1/1256920

Least Common Multiple of 280,8978 with GCF Formula

Least Common Multiple of 280,8978 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 280,8978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,8978) = 2

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

GCF(280,8978) x common factors =2 x 1 = 2

LCM(280,8978) = ( 280 × 8978 ) / 2

LCM(280,8978) = 2513840 / 2

LCM(280,8978) = 1256920


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 8067/280, 4021/8978

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 8067/280, 4021/8978?

Answer: GCF of Numerators as per given numbers 8067/280, 4021/8978 is

GCF of Numerators i.e. for 8067,4021 is 1

LCM of denominators i.e. for 280,8978 is 1256920.

Thus, GCF of Fractions is 1/1256920.Finally, GCF of Fractions for 8067/280, 4021/8978 is 1/1256920.