Greatest Common Factor of 444/361, 854/964, 229/251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 444/361, 854/964, 229/251

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 444/361,854/964,229/251

Given fractions are 444/361,854/964,229/251

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 444,854,229

Greatest Common Factor of Numerators i.e. GCF of 444,854,229 is 1 .

LCM of Denominators means LCM of 361,964,251 as per the given fractions.

LCM of 361,964,251 is 87349004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 444,854,229

GCF of Fractions 444/361,854/964,229/251 is 1/87349004

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

Greatest Common Factor of 444,854,229 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,854,229 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 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Greatest Common Factor

We found the factors 444,854,229 . The biggest common factor number is the GCF number.
So the greatest common factor 444,854,229 is 1.

Lets's calculate LCM of 361,964,251

Given numbers has no common factors except 1. So, there LCM is their product i.e 87349004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87349004

Therefore, the GCF of Fractions 444/361,854/964,229/251 is 1/87349004

Least Common Multiple of 361,964,251 with GCF Formula

Least Common Multiple of 361,964,251 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 361,964,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,964,251) = 1

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

GCF(361,964,251) x common factors =1 x 1 = 1

LCM(361,964,251) = ( 361 × 964 × 251 ) / 1

LCM(361,964,251) = 87349004 / 1

LCM(361,964,251) = 87349004


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 444/361, 854/964, 229/251

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 444/361, 854/964, 229/251?

Answer: GCF of Numerators as per given numbers 444/361, 854/964, 229/251 is

GCF of Numerators i.e. for 444,854,229 is 1

LCM of denominators i.e. for 361,964,251 is 87349004.

Thus, GCF of Fractions is 1/87349004.Finally, GCF of Fractions for 444/361, 854/964, 229/251 is 1/87349004.