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 438/220, 467/561

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 438/220, 467/561 i.e 1/11220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 438/220, 467/561.

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 438/220,467/561?

Given fractions are 438/220,467/561

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 438/220,467/561, numerators are 438,467

Denominators are 220,561

The GCF of 438,467 is 1 .

LCM of 220,561 is 11220.

The greatest common factor of 438/220,467/561 = [GCF of 438,467]/[LCM of 220,561]= 1/11220

Therefore, the GCF of 438/220,467/561 is 1/11220.

Greatest Common Factor of 438,467

To find the highest common factor of 438,467, we have to find the factors of both numbers and list the highest common factor.

The factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438

The factors of 467 are 1, 467

The HCF of 438,467 is 1.

Lets's calculate GCF of 438,467

Greatest Common Factor (GCF) of 438,467 By Common Division

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

Greatest Common Factor of 438,467 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,467 By Matching Biggest Common Factor Method

Now, list down the factors of 438

:

1,2,3,6,73,146,219,438

Now, list down the factors of 467

:

1,467

Greatest Common Factor

We found the factors 438,467 . The biggest common factor number is the GCF number.
So the greatest common factor 438,467 is 1.

Lets's calculate LCM of 220,561

Lowest Common Multiple of 220,561 using Common Division

11 220, 561
20, 51

∴ So the LCM of the given numbers is 11 x 20 x 51 = 11220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11220

Therefore, the GCF of Fractions 438/220,467/561 is 1/11220

Least Common Multiple of 220,561 with GCF Formula

Least Common Multiple of 220,561 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 220,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,561) = 11

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

GCF(220,561) x common factors =11 x 1 = 11

LCM(220,561) = ( 220 × 561 ) / 11

LCM(220,561) = 123420 / 11

LCM(220,561) = 11220


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 438/220, 467/561

1. What is the HCF of 438,467?

The HCF of 438,467 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 438/220, 467/561?

Answer: GCF of Numerators as per given numbers 438/220, 467/561 is

GCF of Numerators i.e. for 438,467 is 1

LCM of denominators i.e. for 220,561 is 11220.

Thus, GCF of Fractions is 1/11220.Finally, GCF of Fractions for 438/220, 467/561 is 1/11220.