Greatest Common Factor of 444/497, 9102/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 444/497, 9102/401

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 444/497,9102/401

Given fractions are 444/497,9102/401

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 444,9102

Greatest Common Factor of Numerators i.e. GCF of 444,9102 is 222 .

LCM of Denominators means LCM of 497,401 as per the given fractions.

LCM of 497,401 is 199297 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 444,9102

GCF of Fractions 444/497,9102/401 is 222/199297

2 444, 9102
3 222, 4551
37 74, 1517
2, 41

∴ So the GCF of the given numbers is 2 x 3 x 37 = 222

Greatest Common Factor of 444,9102 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,9102 By Matching Biggest Common Factor Method

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 9102

List of positive integer factors of 9102 that divides 9102 without a remainder.

1,2,3,6,37,41,74,82,111,123,222,246,1517,3034,4551,9102

Greatest Common Factor

We found the factors 444,9102 . The biggest common factor number is the GCF number.
So the greatest common factor 444,9102 is 222.

Lets's calculate LCM of 497,401

Given numbers has no common factors except 1. So, there LCM is their product i.e 199297

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 222/199297

Therefore, the GCF of Fractions 444/497,9102/401 is 222/199297

Least Common Multiple of 497,401 with GCF Formula

Least Common Multiple of 497,401 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 497,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,401) = 1

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

GCF(497,401) x common factors =1 x 1 = 1

LCM(497,401) = ( 497 × 401 ) / 1

LCM(497,401) = 199297 / 1

LCM(497,401) = 199297


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 444/497, 9102/401

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 444/497, 9102/401?

Answer: GCF of Numerators as per given numbers 444/497, 9102/401 is

GCF of Numerators i.e. for 444,9102 is 222

LCM of denominators i.e. for 497,401 is 199297.

Thus, GCF of Fractions is 222/199297.Finally, GCF of Fractions for 444/497, 9102/401 is 222/199297.