Greatest Common Factor of 2067/842, 1661/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2067/842, 1661/531

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 2067/842,1661/531

Given fractions are 2067/842,1661/531

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 2067,1661

Greatest Common Factor of Numerators i.e. GCF of 2067,1661 is 1 .

LCM of Denominators means LCM of 842,531 as per the given fractions.

LCM of 842,531 is 447102 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2067,1661

GCF of Fractions 2067/842,1661/531 is 1/447102

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

Greatest Common Factor of 2067,1661 By Matching Biggest Common Factor Method

Greatest Common Factor of 2067,1661 By Matching Biggest Common Factor Method

Factors of 2067

List of positive integer factors of 2067 that divides 2067 without a remainder.

1,3,13,39,53,159,689,2067

Factors of 1661

List of positive integer factors of 1661 that divides 1661 without a remainder.

1,11,151,1661

Greatest Common Factor

We found the factors 2067,1661 . The biggest common factor number is the GCF number.
So the greatest common factor 2067,1661 is 1.

Lets's calculate LCM of 842,531

Given numbers has no common factors except 1. So, there LCM is their product i.e 447102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/447102

Therefore, the GCF of Fractions 2067/842,1661/531 is 1/447102

Least Common Multiple of 842,531 with GCF Formula

Least Common Multiple of 842,531 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 842,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,531) = 1

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

GCF(842,531) x common factors =1 x 1 = 1

LCM(842,531) = ( 842 × 531 ) / 1

LCM(842,531) = 447102 / 1

LCM(842,531) = 447102


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 2067/842, 1661/531

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 2067/842, 1661/531?

Answer: GCF of Numerators as per given numbers 2067/842, 1661/531 is

GCF of Numerators i.e. for 2067,1661 is 1

LCM of denominators i.e. for 842,531 is 447102.

Thus, GCF of Fractions is 1/447102.Finally, GCF of Fractions for 2067/842, 1661/531 is 1/447102.