Greatest Common Factor of 443/61, 107/82, 623/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 443/61, 107/82, 623/350

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 443/61,107/82,623/350

Given fractions are 443/61,107/82,623/350

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 443,107,623

Greatest Common Factor of Numerators i.e. GCF of 443,107,623 is 1 .

LCM of Denominators means LCM of 61,82,350 as per the given fractions.

LCM of 61,82,350 is 875350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 443,107,623

GCF of Fractions 443/61,107/82,623/350 is 1/875350

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

Greatest Common Factor of 443,107,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,107,623 By Matching Biggest Common Factor Method

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 443,107,623 . The biggest common factor number is the GCF number.
So the greatest common factor 443,107,623 is 1.

Lets's calculate LCM of 61,82,350

2 61, 82, 350
61, 41, 175

∴ So the LCM of the given numbers is 2 x 61 x 41 x 175 = 875350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/875350

Therefore, the GCF of Fractions 443/61,107/82,623/350 is 1/875350

Least Common Multiple of 61,82,350 with GCF Formula

Least Common Multiple of 61,82,350 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 61,82,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,82,350) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(61,82,350) x common factors =1 x 2 = 2

LCM(61,82,350) = ( 61 × 82 × 350 ) / 2

LCM(61,82,350) = 1750700 / 2

LCM(61,82,350) = 875350


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 443/61, 107/82, 623/350

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 443/61, 107/82, 623/350?

Answer: GCF of Numerators as per given numbers 443/61, 107/82, 623/350 is

GCF of Numerators i.e. for 443,107,623 is 1

LCM of denominators i.e. for 61,82,350 is 875350.

Thus, GCF of Fractions is 1/875350.Finally, GCF of Fractions for 443/61, 107/82, 623/350 is 1/875350.