Greatest Common Factor of 2071/821, 7059/9482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2071/821, 7059/9482

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 2071/821,7059/9482

Given fractions are 2071/821,7059/9482

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 2071,7059

Greatest Common Factor of Numerators i.e. GCF of 2071,7059 is 1 .

LCM of Denominators means LCM of 821,9482 as per the given fractions.

LCM of 821,9482 is 7784722 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2071,7059

GCF of Fractions 2071/821,7059/9482 is 1/7784722

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

Greatest Common Factor of 2071,7059 By Matching Biggest Common Factor Method

Greatest Common Factor of 2071,7059 By Matching Biggest Common Factor Method

Factors of 2071

List of positive integer factors of 2071 that divides 2071 without a remainder.

1,19,109,2071

Factors of 7059

List of positive integer factors of 7059 that divides 7059 without a remainder.

1,3,13,39,181,543,2353,7059

Greatest Common Factor

We found the factors 2071,7059 . The biggest common factor number is the GCF number.
So the greatest common factor 2071,7059 is 1.

Lets's calculate LCM of 821,9482

Given numbers has no common factors except 1. So, there LCM is their product i.e 7784722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7784722

Therefore, the GCF of Fractions 2071/821,7059/9482 is 1/7784722

Least Common Multiple of 821,9482 with GCF Formula

Least Common Multiple of 821,9482 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 821,9482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,9482) = 1

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

GCF(821,9482) x common factors =1 x 1 = 1

LCM(821,9482) = ( 821 × 9482 ) / 1

LCM(821,9482) = 7784722 / 1

LCM(821,9482) = 7784722


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 2071/821, 7059/9482

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 2071/821, 7059/9482?

Answer: GCF of Numerators as per given numbers 2071/821, 7059/9482 is

GCF of Numerators i.e. for 2071,7059 is 1

LCM of denominators i.e. for 821,9482 is 7784722.

Thus, GCF of Fractions is 1/7784722.Finally, GCF of Fractions for 2071/821, 7059/9482 is 1/7784722.