Greatest Common Factor of 2447/165, 1876/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 2447/165, 1876/273

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 2447/165,1876/273

Given fractions are 2447/165,1876/273

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 2447,1876

Greatest Common Factor of Numerators i.e. GCF of 2447,1876 is 1 .

LCM of Denominators means LCM of 165,273 as per the given fractions.

LCM of 165,273 is 15015 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2447,1876

GCF of Fractions 2447/165,1876/273 is 1/15015

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

Greatest Common Factor of 2447,1876 By Matching Biggest Common Factor Method

Greatest Common Factor of 2447,1876 By Matching Biggest Common Factor Method

Factors of 2447

List of positive integer factors of 2447 that divides 2447 without a remainder.

1,2447

Factors of 1876

List of positive integer factors of 1876 that divides 1876 without a remainder.

1,2,4,7,14,28,67,134,268,469,938,1876

Greatest Common Factor

We found the factors 2447,1876 . The biggest common factor number is the GCF number.
So the greatest common factor 2447,1876 is 1.


Lets's calculate LCM of 165,273

3 165, 273
55, 91

∴ So the LCM of the given numbers is 3 x 55 x 91 = 15015

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15015

Therefore, the GCF of Fractions 2447/165,1876/273 is 1/15015

Least Common Multiple of 165,273 with GCF Formula

Least Common Multiple of 165,273 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 165,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,273) = 3

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

GCF(165,273) x common factors =3 x 1 = 3

LCM(165,273) = ( 165 × 273 ) / 3

LCM(165,273) = 45045 / 3

LCM(165,273) = 15015


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 2447/165, 1876/273

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 2447/165, 1876/273?

Answer: GCF of Numerators as per given numbers 2447/165, 1876/273 is

GCF of Numerators i.e. for 2447,1876 is 1

LCM of denominators i.e. for 165,273 is 15015.

Thus, GCF of Fractions is 1/15015.Finally, GCF of Fractions for 2447/165, 1876/273 is 1/15015.