Greatest Common Factor of 1712/18, 6518/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1712/18, 6518/646

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 1712/18,6518/646

Given fractions are 1712/18,6518/646

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 1712,6518

Greatest Common Factor of Numerators i.e. GCF of 1712,6518 is 2 .

LCM of Denominators means LCM of 18,646 as per the given fractions.

LCM of 18,646 is 5814 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1712,6518

GCF of Fractions 1712/18,6518/646 is 2/5814

2 1712, 6518
856, 3259

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

Greatest Common Factor of 1712,6518 By Matching Biggest Common Factor Method

Greatest Common Factor of 1712,6518 By Matching Biggest Common Factor Method

Factors of 1712

List of positive integer factors of 1712 that divides 1712 without a remainder.

1,2,4,8,16,107,214,428,856,1712

Factors of 6518

List of positive integer factors of 6518 that divides 6518 without a remainder.

1,2,3259,6518

Greatest Common Factor

We found the factors 1712,6518 . The biggest common factor number is the GCF number.
So the greatest common factor 1712,6518 is 2.

Lets's calculate LCM of 18,646

2 18, 646
9, 323

∴ So the LCM of the given numbers is 2 x 9 x 323 = 5814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5814

Therefore, the GCF of Fractions 1712/18,6518/646 is 2/5814

Least Common Multiple of 18,646 with GCF Formula

Least Common Multiple of 18,646 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 18,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,646) = 2

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

GCF(18,646) x common factors =2 x 1 = 2

LCM(18,646) = ( 18 × 646 ) / 2

LCM(18,646) = 11628 / 2

LCM(18,646) = 5814


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 1712/18, 6518/646

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 1712/18, 6518/646?

Answer: GCF of Numerators as per given numbers 1712/18, 6518/646 is

GCF of Numerators i.e. for 1712,6518 is 2

LCM of denominators i.e. for 18,646 is 5814.

Thus, GCF of Fractions is 2/5814.Finally, GCF of Fractions for 1712/18, 6518/646 is 2/5814.