Greatest Common Factor of 2082/234, 1000/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2082/234, 1000/421

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 2082/234,1000/421

Given fractions are 2082/234,1000/421

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 2082,1000

Greatest Common Factor of Numerators i.e. GCF of 2082,1000 is 2 .

LCM of Denominators means LCM of 234,421 as per the given fractions.

LCM of 234,421 is 98514 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2082,1000

GCF of Fractions 2082/234,1000/421 is 2/98514

2 2082, 1000
1041, 500

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2082,1000 By Matching Biggest Common Factor Method

Greatest Common Factor of 2082,1000 By Matching Biggest Common Factor Method

Factors of 2082

List of positive integer factors of 2082 that divides 2082 without a remainder.

1,2,3,6,347,694,1041,2082

Factors of 1000

List of positive integer factors of 1000 that divides 1000 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,1000

Greatest Common Factor

We found the factors 2082,1000 . The biggest common factor number is the GCF number.
So the greatest common factor 2082,1000 is 2.

Lets's calculate LCM of 234,421

Given numbers has no common factors except 1. So, there LCM is their product i.e 98514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/98514

Therefore, the GCF of Fractions 2082/234,1000/421 is 2/98514

Least Common Multiple of 234,421 with GCF Formula

Least Common Multiple of 234,421 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 234,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,421) = 1

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

GCF(234,421) x common factors =1 x 1 = 1

LCM(234,421) = ( 234 × 421 ) / 1

LCM(234,421) = 98514 / 1

LCM(234,421) = 98514


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 2082/234, 1000/421

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 2082/234, 1000/421?

Answer: GCF of Numerators as per given numbers 2082/234, 1000/421 is

GCF of Numerators i.e. for 2082,1000 is 2

LCM of denominators i.e. for 234,421 is 98514.

Thus, GCF of Fractions is 2/98514.Finally, GCF of Fractions for 2082/234, 1000/421 is 2/98514.