Greatest Common Factor of 2107/20, 7782/445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2107/20, 7782/445

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 2107/20,7782/445

Given fractions are 2107/20,7782/445

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 2107,7782

Greatest Common Factor of Numerators i.e. GCF of 2107,7782 is 1 .

LCM of Denominators means LCM of 20,445 as per the given fractions.

LCM of 20,445 is 1780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2107,7782

GCF of Fractions 2107/20,7782/445 is 1/1780

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

Greatest Common Factor of 2107,7782 By Matching Biggest Common Factor Method

Greatest Common Factor of 2107,7782 By Matching Biggest Common Factor Method

Factors of 2107

List of positive integer factors of 2107 that divides 2107 without a remainder.

1,7,43,49,301,2107

Factors of 7782

List of positive integer factors of 7782 that divides 7782 without a remainder.

1,2,3,6,1297,2594,3891,7782

Greatest Common Factor

We found the factors 2107,7782 . The biggest common factor number is the GCF number.
So the greatest common factor 2107,7782 is 1.

Lets's calculate LCM of 20,445

5 20, 445
4, 89

∴ So the LCM of the given numbers is 5 x 4 x 89 = 1780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1780

Therefore, the GCF of Fractions 2107/20,7782/445 is 1/1780

Least Common Multiple of 20,445 with GCF Formula

Least Common Multiple of 20,445 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 20,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,445) = 5

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

GCF(20,445) x common factors =5 x 1 = 5

LCM(20,445) = ( 20 × 445 ) / 5

LCM(20,445) = 8900 / 5

LCM(20,445) = 1780


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 2107/20, 7782/445

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 2107/20, 7782/445?

Answer: GCF of Numerators as per given numbers 2107/20, 7782/445 is

GCF of Numerators i.e. for 2107,7782 is 1

LCM of denominators i.e. for 20,445 is 1780.

Thus, GCF of Fractions is 1/1780.Finally, GCF of Fractions for 2107/20, 7782/445 is 1/1780.