How to Find GCF of 22/73, 478/42, 839/327?

GCF of 22/73, 478/42, 839/327

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 22/73, 478/42, 839/327 i.e 1/334194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/73, 478/42, 839/327.

Enter two or more fractions separated by "commas"

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

What is the GCF of 22/73,478/42,839/327?

Given fractions are 22/73,478/42,839/327

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 22/73,478/42,839/327, numerators are 22,478,839

Denominators are 73,42,327

The GCF of 22,478,839 is 1 .

LCM of 73,42,327 is 334194.

The greatest common factor of 22/73,478/42,839/327 = [GCF of 22,478,839]/[LCM of 73,42,327]= 1/334194

Therefore, the GCF of 22/73,478/42,839/327 is 1/334194.

Greatest Common Factor of 22,478,839

To find the highest common factor of 22,478,839, we have to find the factors of both numbers and list the highest common factor.

The factors of 22 are 1, 2, 11, 22

The factors of 478 are 1, 2, 239, 478

The factors of 839 are 1, 839

The HCF of 22,478,839 is 1.

Lets's calculate GCF of 22,478,839

Greatest Common Factor (GCF) of 22,478,839 By Common Division

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

Greatest Common Factor of 22,478,839 By Matching Biggest Common Factor Method

Now, list down the factors of 22

1,2,11,22

Now, list down the factors of 478

1,2,239,478

Now, list down the factors of 839

1,839

Greatest Common Factor

We found the factors 22,478,839 . The biggest common factor number is the GCF number.
So the greatest common factor 22,478,839 is 1.

Lets's calculate LCM of 73,42,327

Lowest Common Multiple of 73,42,327 using Common Division

3	73, 42, 327
	73, 14, 109

∴ So the LCM of the given numbers is 3 x 73 x 14 x 109 = 334194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/334194

Therefore, the GCF of Fractions 22/73,478/42,839/327 is 1/334194

Least Common Multiple of 73,42,327 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 73,42,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,42,327) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(73,42,327) x common factors =1 x 3 = 3

LCM(73,42,327) = ( 73 × 42 × 327 ) / 3

LCM(73,42,327) = 1002582 / 3

LCM(73,42,327) = 334194

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 22/73, 478/42, 839/327

1. What is the HCF of 22,478,839?

The HCF of 22,478,839 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 22/73, 478/42, 839/327?

Answer: GCF of Numerators as per given numbers 22/73, 478/42, 839/327 is

GCF of Numerators i.e. for 22,478,839 is 1

LCM of denominators i.e. for 73,42,327 is 334194.

Thus, GCF of Fractions is 1/334194.Finally, GCF of Fractions for 22/73, 478/42, 839/327 is 1/334194.