Greatest Common Factor of 1689/210, 3902/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1689/210, 3902/172

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 1689/210,3902/172

Given fractions are 1689/210,3902/172

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 1689,3902

Greatest Common Factor of Numerators i.e. GCF of 1689,3902 is 1 .

LCM of Denominators means LCM of 210,172 as per the given fractions.

LCM of 210,172 is 18060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1689,3902

GCF of Fractions 1689/210,3902/172 is 1/18060

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

Greatest Common Factor of 1689,3902 By Matching Biggest Common Factor Method

Greatest Common Factor of 1689,3902 By Matching Biggest Common Factor Method

Factors of 1689

List of positive integer factors of 1689 that divides 1689 without a remainder.

1,3,563,1689

Factors of 3902

List of positive integer factors of 3902 that divides 3902 without a remainder.

1,2,1951,3902

Greatest Common Factor

We found the factors 1689,3902 . The biggest common factor number is the GCF number.
So the greatest common factor 1689,3902 is 1.

Lets's calculate LCM of 210,172

2 210, 172
105, 86

∴ So the LCM of the given numbers is 2 x 105 x 86 = 18060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18060

Therefore, the GCF of Fractions 1689/210,3902/172 is 1/18060

Least Common Multiple of 210,172 with GCF Formula

Least Common Multiple of 210,172 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 210,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,172) = 2

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

GCF(210,172) x common factors =2 x 1 = 2

LCM(210,172) = ( 210 × 172 ) / 2

LCM(210,172) = 36120 / 2

LCM(210,172) = 18060


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 1689/210, 3902/172

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 1689/210, 3902/172?

Answer: GCF of Numerators as per given numbers 1689/210, 3902/172 is

GCF of Numerators i.e. for 1689,3902 is 1

LCM of denominators i.e. for 210,172 is 18060.

Thus, GCF of Fractions is 1/18060.Finally, GCF of Fractions for 1689/210, 3902/172 is 1/18060.