Greatest Common Factor of 4444/462, 2739/9875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4444/462, 2739/9875

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 4444/462,2739/9875

Given fractions are 4444/462,2739/9875

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 4444,2739

Greatest Common Factor of Numerators i.e. GCF of 4444,2739 is 11 .

LCM of Denominators means LCM of 462,9875 as per the given fractions.

LCM of 462,9875 is 4562250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4444,2739

GCF of Fractions 4444/462,2739/9875 is 11/4562250

11 4444, 2739
404, 249

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 4444,2739 By Matching Biggest Common Factor Method

Greatest Common Factor of 4444,2739 By Matching Biggest Common Factor Method

Factors of 4444

List of positive integer factors of 4444 that divides 4444 without a remainder.

1,2,4,11,22,44,101,202,404,1111,2222,4444

Factors of 2739

List of positive integer factors of 2739 that divides 2739 without a remainder.

1,3,11,33,83,249,913,2739

Greatest Common Factor

We found the factors 4444,2739 . The biggest common factor number is the GCF number.
So the greatest common factor 4444,2739 is 11.

Lets's calculate LCM of 462,9875

Given numbers has no common factors except 1. So, there LCM is their product i.e 4562250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/4562250

Therefore, the GCF of Fractions 4444/462,2739/9875 is 11/4562250

Least Common Multiple of 462,9875 with GCF Formula

Least Common Multiple of 462,9875 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 462,9875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,9875) = 1

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

GCF(462,9875) x common factors =1 x 1 = 1

LCM(462,9875) = ( 462 × 9875 ) / 1

LCM(462,9875) = 4562250 / 1

LCM(462,9875) = 4562250


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 4444/462, 2739/9875

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 4444/462, 2739/9875?

Answer: GCF of Numerators as per given numbers 4444/462, 2739/9875 is

GCF of Numerators i.e. for 4444,2739 is 11

LCM of denominators i.e. for 462,9875 is 4562250.

Thus, GCF of Fractions is 11/4562250.Finally, GCF of Fractions for 4444/462, 2739/9875 is 11/4562250.