Greatest Common Factor of 2027/977, 1082/3806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2027/977, 1082/3806

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 2027/977,1082/3806

Given fractions are 2027/977,1082/3806

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 2027,1082

Greatest Common Factor of Numerators i.e. GCF of 2027,1082 is 1 .

LCM of Denominators means LCM of 977,3806 as per the given fractions.

LCM of 977,3806 is 3718462 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2027,1082

GCF of Fractions 2027/977,1082/3806 is 1/3718462

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

Greatest Common Factor of 2027,1082 By Matching Biggest Common Factor Method

Greatest Common Factor of 2027,1082 By Matching Biggest Common Factor Method

Factors of 2027

List of positive integer factors of 2027 that divides 2027 without a remainder.

1,2027

Factors of 1082

List of positive integer factors of 1082 that divides 1082 without a remainder.

1,2,541,1082

Greatest Common Factor

We found the factors 2027,1082 . The biggest common factor number is the GCF number.
So the greatest common factor 2027,1082 is 1.

Lets's calculate LCM of 977,3806

Given numbers has no common factors except 1. So, there LCM is their product i.e 3718462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3718462

Therefore, the GCF of Fractions 2027/977,1082/3806 is 1/3718462

Least Common Multiple of 977,3806 with GCF Formula

Least Common Multiple of 977,3806 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 977,3806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,3806) = 1

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

GCF(977,3806) x common factors =1 x 1 = 1

LCM(977,3806) = ( 977 × 3806 ) / 1

LCM(977,3806) = 3718462 / 1

LCM(977,3806) = 3718462


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 2027/977, 1082/3806

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 2027/977, 1082/3806?

Answer: GCF of Numerators as per given numbers 2027/977, 1082/3806 is

GCF of Numerators i.e. for 2027,1082 is 1

LCM of denominators i.e. for 977,3806 is 3718462.

Thus, GCF of Fractions is 1/3718462.Finally, GCF of Fractions for 2027/977, 1082/3806 is 1/3718462.