LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 443/972, 392/227

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 443/972, 392/227 i.e 1/220644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 443/972, 392/227.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 443/972,392/227?

Given fractions are 443/972,392/227

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 443/972,392/227, numerators are 443,392

Denominators are 972,227

The GCF of 443,392 is 1 .

LCM of 972,227 is 220644.

The greatest common factor of 443/972,392/227 = [GCF of 443,392]/[LCM of 972,227]= 1/220644

Therefore, the GCF of 443/972,392/227 is 1/220644.

Greatest Common Factor of 443,392

To find the highest common factor of 443,392, we have to find the factors of both numbers and list the highest common factor.

The factors of 443 are 1, 443

The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

The HCF of 443,392 is 1.

Lets's calculate GCF of 443,392

Greatest Common Factor (GCF) of 443,392 By Common Division

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

Greatest Common Factor of 443,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,392 By Matching Biggest Common Factor Method

Now, list down the factors of 443

:

1,443

Now, list down the factors of 392

:

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 443,392 . The biggest common factor number is the GCF number.
So the greatest common factor 443,392 is 1.

Lets's calculate LCM of 972,227

Lowest Common Multiple of 972,227 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 220644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220644

Therefore, the GCF of Fractions 443/972,392/227 is 1/220644

Least Common Multiple of 972,227 with GCF Formula

Least Common Multiple of 972,227 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 972,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,227) = 1

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

GCF(972,227) x common factors =1 x 1 = 1

LCM(972,227) = ( 972 × 227 ) / 1

LCM(972,227) = 220644 / 1

LCM(972,227) = 220644


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 443/972, 392/227

1. What is the HCF of 443,392?

The HCF of 443,392 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 443/972, 392/227?

Answer: GCF of Numerators as per given numbers 443/972, 392/227 is

GCF of Numerators i.e. for 443,392 is 1

LCM of denominators i.e. for 972,227 is 220644.

Thus, GCF of Fractions is 1/220644.Finally, GCF of Fractions for 443/972, 392/227 is 1/220644.