Greatest Common Factor of 2729/162, 1316/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2729/162, 1316/204

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 2729/162,1316/204

Given fractions are 2729/162,1316/204

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 2729,1316

Greatest Common Factor of Numerators i.e. GCF of 2729,1316 is 1 .

LCM of Denominators means LCM of 162,204 as per the given fractions.

LCM of 162,204 is 5508 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2729,1316

GCF of Fractions 2729/162,1316/204 is 1/5508

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

Greatest Common Factor of 2729,1316 By Matching Biggest Common Factor Method

Greatest Common Factor of 2729,1316 By Matching Biggest Common Factor Method

Factors of 2729

List of positive integer factors of 2729 that divides 2729 without a remainder.

1,2729

Factors of 1316

List of positive integer factors of 1316 that divides 1316 without a remainder.

1,2,4,7,14,28,47,94,188,329,658,1316

Greatest Common Factor

We found the factors 2729,1316 . The biggest common factor number is the GCF number.
So the greatest common factor 2729,1316 is 1.

Lets's calculate LCM of 162,204

2 162, 204
3 81, 102
27, 34

∴ So the LCM of the given numbers is 2 x 3 x 27 x 34 = 5508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5508

Therefore, the GCF of Fractions 2729/162,1316/204 is 1/5508

Least Common Multiple of 162,204 with GCF Formula

Least Common Multiple of 162,204 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 162,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,204) = 6

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

GCF(162,204) x common factors =6 x 1 = 6

LCM(162,204) = ( 162 × 204 ) / 6

LCM(162,204) = 33048 / 6

LCM(162,204) = 5508


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 2729/162, 1316/204

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 2729/162, 1316/204?

Answer: GCF of Numerators as per given numbers 2729/162, 1316/204 is

GCF of Numerators i.e. for 2729,1316 is 1

LCM of denominators i.e. for 162,204 is 5508.

Thus, GCF of Fractions is 1/5508.Finally, GCF of Fractions for 2729/162, 1316/204 is 1/5508.