Greatest Common Factor of 169/2138, 274/1624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 169/2138, 274/1624

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 169/2138,274/1624

Given fractions are 169/2138,274/1624

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 169,274

Greatest Common Factor of Numerators i.e. GCF of 169,274 is 1 .

LCM of Denominators means LCM of 2138,1624 as per the given fractions.

LCM of 2138,1624 is 1736056 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 169,274

GCF of Fractions 169/2138,274/1624 is 1/1736056

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

Greatest Common Factor of 169,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 169,274 By Matching Biggest Common Factor Method

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 169,274 . The biggest common factor number is the GCF number.
So the greatest common factor 169,274 is 1.

Lets's calculate LCM of 2138,1624

2 2138, 1624
1069, 812

∴ So the LCM of the given numbers is 2 x 1069 x 812 = 1736056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1736056

Therefore, the GCF of Fractions 169/2138,274/1624 is 1/1736056

Least Common Multiple of 2138,1624 with GCF Formula

Least Common Multiple of 2138,1624 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 2138,1624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2138,1624) = 2

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

GCF(2138,1624) x common factors =2 x 1 = 2

LCM(2138,1624) = ( 2138 × 1624 ) / 2

LCM(2138,1624) = 3472112 / 2

LCM(2138,1624) = 1736056


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 169/2138, 274/1624

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 169/2138, 274/1624?

Answer: GCF of Numerators as per given numbers 169/2138, 274/1624 is

GCF of Numerators i.e. for 169,274 is 1

LCM of denominators i.e. for 2138,1624 is 1736056.

Thus, GCF of Fractions is 1/1736056.Finally, GCF of Fractions for 169/2138, 274/1624 is 1/1736056.