Greatest Common Factor of 1211/23, 2701/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1211/23, 2701/169

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 1211/23,2701/169

Given fractions are 1211/23,2701/169

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 1211,2701

Greatest Common Factor of Numerators i.e. GCF of 1211,2701 is 1 .

LCM of Denominators means LCM of 23,169 as per the given fractions.

LCM of 23,169 is 3887 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1211,2701

GCF of Fractions 1211/23,2701/169 is 1/3887

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

Greatest Common Factor of 1211,2701 By Matching Biggest Common Factor Method

Greatest Common Factor of 1211,2701 By Matching Biggest Common Factor Method

Factors of 1211

List of positive integer factors of 1211 that divides 1211 without a remainder.

1,7,173,1211

Factors of 2701

List of positive integer factors of 2701 that divides 2701 without a remainder.

1,37,73,2701

Greatest Common Factor

We found the factors 1211,2701 . The biggest common factor number is the GCF number.
So the greatest common factor 1211,2701 is 1.

Lets's calculate LCM of 23,169

Given numbers has no common factors except 1. So, there LCM is their product i.e 3887

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3887

Therefore, the GCF of Fractions 1211/23,2701/169 is 1/3887

Least Common Multiple of 23,169 with GCF Formula

Least Common Multiple of 23,169 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 23,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,169) = 1

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

GCF(23,169) x common factors =1 x 1 = 1

LCM(23,169) = ( 23 × 169 ) / 1

LCM(23,169) = 3887 / 1

LCM(23,169) = 3887


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 1211/23, 2701/169

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 1211/23, 2701/169?

Answer: GCF of Numerators as per given numbers 1211/23, 2701/169 is

GCF of Numerators i.e. for 1211,2701 is 1

LCM of denominators i.e. for 23,169 is 3887.

Thus, GCF of Fractions is 1/3887.Finally, GCF of Fractions for 1211/23, 2701/169 is 1/3887.