Greatest Common Factor of 1786/970, 7090/1686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1786/970, 7090/1686

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 1786/970,7090/1686

Given fractions are 1786/970,7090/1686

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 1786,7090

Greatest Common Factor of Numerators i.e. GCF of 1786,7090 is 2 .

LCM of Denominators means LCM of 970,1686 as per the given fractions.

LCM of 970,1686 is 817710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1786,7090

GCF of Fractions 1786/970,7090/1686 is 2/817710

2 1786, 7090
893, 3545

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

Greatest Common Factor of 1786,7090 By Matching Biggest Common Factor Method

Greatest Common Factor of 1786,7090 By Matching Biggest Common Factor Method

Factors of 1786

List of positive integer factors of 1786 that divides 1786 without a remainder.

1,2,19,38,47,94,893,1786

Factors of 7090

List of positive integer factors of 7090 that divides 7090 without a remainder.

1,2,5,10,709,1418,3545,7090

Greatest Common Factor

We found the factors 1786,7090 . The biggest common factor number is the GCF number.
So the greatest common factor 1786,7090 is 2.

Lets's calculate LCM of 970,1686

2 970, 1686
485, 843

∴ So the LCM of the given numbers is 2 x 485 x 843 = 817710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/817710

Therefore, the GCF of Fractions 1786/970,7090/1686 is 2/817710

Least Common Multiple of 970,1686 with GCF Formula

Least Common Multiple of 970,1686 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 970,1686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,1686) = 2

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

GCF(970,1686) x common factors =2 x 1 = 2

LCM(970,1686) = ( 970 × 1686 ) / 2

LCM(970,1686) = 1635420 / 2

LCM(970,1686) = 817710


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 1786/970, 7090/1686

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 1786/970, 7090/1686?

Answer: GCF of Numerators as per given numbers 1786/970, 7090/1686 is

GCF of Numerators i.e. for 1786,7090 is 2

LCM of denominators i.e. for 970,1686 is 817710.

Thus, GCF of Fractions is 2/817710.Finally, GCF of Fractions for 1786/970, 7090/1686 is 2/817710.