Greatest Common Factor of 1701/111, 4491/2134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1701/111, 4491/2134

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 1701/111,4491/2134

Given fractions are 1701/111,4491/2134

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 1701,4491

Greatest Common Factor of Numerators i.e. GCF of 1701,4491 is 9 .

LCM of Denominators means LCM of 111,2134 as per the given fractions.

LCM of 111,2134 is 236874 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1701,4491

GCF of Fractions 1701/111,4491/2134 is 9/236874

3 1701, 4491
3 567, 1497
189, 499

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 1701,4491 By Matching Biggest Common Factor Method

Greatest Common Factor of 1701,4491 By Matching Biggest Common Factor Method

Factors of 1701

List of positive integer factors of 1701 that divides 1701 without a remainder.

1,3,7,9,21,27,63,81,189,243,567,1701

Factors of 4491

List of positive integer factors of 4491 that divides 4491 without a remainder.

1,3,9,499,1497,4491

Greatest Common Factor

We found the factors 1701,4491 . The biggest common factor number is the GCF number.
So the greatest common factor 1701,4491 is 9.

Lets's calculate LCM of 111,2134

Given numbers has no common factors except 1. So, there LCM is their product i.e 236874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/236874

Therefore, the GCF of Fractions 1701/111,4491/2134 is 9/236874

Least Common Multiple of 111,2134 with GCF Formula

Least Common Multiple of 111,2134 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 111,2134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,2134) = 1

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

GCF(111,2134) x common factors =1 x 1 = 1

LCM(111,2134) = ( 111 × 2134 ) / 1

LCM(111,2134) = 236874 / 1

LCM(111,2134) = 236874


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 1701/111, 4491/2134

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 1701/111, 4491/2134?

Answer: GCF of Numerators as per given numbers 1701/111, 4491/2134 is

GCF of Numerators i.e. for 1701,4491 is 9

LCM of denominators i.e. for 111,2134 is 236874.

Thus, GCF of Fractions is 9/236874.Finally, GCF of Fractions for 1701/111, 4491/2134 is 9/236874.