Greatest Common Factor of 444/35, 311/8316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 444/35, 311/8316

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 444/35,311/8316

Given fractions are 444/35,311/8316

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 444,311

Greatest Common Factor of Numerators i.e. GCF of 444,311 is 1 .

LCM of Denominators means LCM of 35,8316 as per the given fractions.

LCM of 35,8316 is 41580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 444,311

GCF of Fractions 444/35,311/8316 is 1/41580

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

Greatest Common Factor of 444,311 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,311 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 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Greatest Common Factor

We found the factors 444,311 . The biggest common factor number is the GCF number.
So the greatest common factor 444,311 is 1.

Lets's calculate LCM of 35,8316

7 35, 8316
5, 1188

∴ So the LCM of the given numbers is 7 x 5 x 1188 = 41580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41580

Therefore, the GCF of Fractions 444/35,311/8316 is 1/41580

Least Common Multiple of 35,8316 with GCF Formula

Least Common Multiple of 35,8316 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 35,8316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,8316) = 7

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

GCF(35,8316) x common factors =7 x 1 = 7

LCM(35,8316) = ( 35 × 8316 ) / 7

LCM(35,8316) = 291060 / 7

LCM(35,8316) = 41580


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 444/35, 311/8316

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 444/35, 311/8316?

Answer: GCF of Numerators as per given numbers 444/35, 311/8316 is

GCF of Numerators i.e. for 444,311 is 1

LCM of denominators i.e. for 35,8316 is 41580.

Thus, GCF of Fractions is 1/41580.Finally, GCF of Fractions for 444/35, 311/8316 is 1/41580.