Greatest Common Factor of 443/12, 8574/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 443/12, 8574/920

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 443/12,8574/920

Given fractions are 443/12,8574/920

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 443,8574

Greatest Common Factor of Numerators i.e. GCF of 443,8574 is 1 .

LCM of Denominators means LCM of 12,920 as per the given fractions.

LCM of 12,920 is 2760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 443,8574

GCF of Fractions 443/12,8574/920 is 1/2760

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

Greatest Common Factor of 443,8574 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,8574 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 8574

List of positive integer factors of 8574 that divides 8574 without a remainder.

1,2,3,6,1429,2858,4287,8574

Greatest Common Factor

We found the factors 443,8574 . The biggest common factor number is the GCF number.
So the greatest common factor 443,8574 is 1.

Lets's calculate LCM of 12,920

2 12, 920
2 6, 460
3, 230

∴ So the LCM of the given numbers is 2 x 2 x 3 x 230 = 2760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2760

Therefore, the GCF of Fractions 443/12,8574/920 is 1/2760

Least Common Multiple of 12,920 with GCF Formula

Least Common Multiple of 12,920 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 12,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,920) = 4

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

GCF(12,920) x common factors =4 x 1 = 4

LCM(12,920) = ( 12 × 920 ) / 4

LCM(12,920) = 11040 / 4

LCM(12,920) = 2760


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 443/12, 8574/920

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 443/12, 8574/920?

Answer: GCF of Numerators as per given numbers 443/12, 8574/920 is

GCF of Numerators i.e. for 443,8574 is 1

LCM of denominators i.e. for 12,920 is 2760.

Thus, GCF of Fractions is 1/2760.Finally, GCF of Fractions for 443/12, 8574/920 is 1/2760.