Greatest Common Factor of 443/22, 574/59, 749/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 443/22, 574/59, 749/824

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 443/22,574/59,749/824

Given fractions are 443/22,574/59,749/824

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 443,574,749

Greatest Common Factor of Numerators i.e. GCF of 443,574,749 is 1 .

LCM of Denominators means LCM of 22,59,824 as per the given fractions.

LCM of 22,59,824 is 534776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 443,574,749

GCF of Fractions 443/22,574/59,749/824 is 1/534776

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

Greatest Common Factor of 443,574,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,574,749 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 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 443,574,749 . The biggest common factor number is the GCF number.
So the greatest common factor 443,574,749 is 1.

Lets's calculate LCM of 22,59,824

2 22, 59, 824
11, 59, 412

∴ So the LCM of the given numbers is 2 x 11 x 59 x 412 = 534776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/534776

Therefore, the GCF of Fractions 443/22,574/59,749/824 is 1/534776

Least Common Multiple of 22,59,824 with GCF Formula

Least Common Multiple of 22,59,824 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 22,59,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,59,824) = 1

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

GCF(22,59,824) x common factors =1 x 2 = 2

LCM(22,59,824) = ( 22 × 59 × 824 ) / 2

LCM(22,59,824) = 1069552 / 2

LCM(22,59,824) = 534776


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 443/22, 574/59, 749/824

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 443/22, 574/59, 749/824?

Answer: GCF of Numerators as per given numbers 443/22, 574/59, 749/824 is

GCF of Numerators i.e. for 443,574,749 is 1

LCM of denominators i.e. for 22,59,824 is 534776.

Thus, GCF of Fractions is 1/534776.Finally, GCF of Fractions for 443/22, 574/59, 749/824 is 1/534776.