How to Find GCF of 22/329, 82/199, 944/816?

GCF of 22/329, 82/199, 944/816

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 22/329, 82/199, 944/816 i.e 2/53424336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/329, 82/199, 944/816.

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 22/329,82/199,944/816?

Given fractions are 22/329,82/199,944/816

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 22/329,82/199,944/816, numerators are 22,82,944

Denominators are 329,199,816

The GCF of 22,82,944 is 2 .

LCM of 329,199,816 is 53424336.

The greatest common factor of 22/329,82/199,944/816 = [GCF of 22,82,944]/[LCM of 329,199,816]= 2/53424336

Therefore, the GCF of 22/329,82/199,944/816 is 2/53424336.

Greatest Common Factor of 22,82,944

To find the highest common factor of 22,82,944, 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 82 are 1, 2, 41, 82

The factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

The HCF of 22,82,944 is 2.

Lets's calculate GCF of 22,82,944

Greatest Common Factor (GCF) of 22,82,944 By Common Division

2	22, 82, 944
	11, 41, 472

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 22,82,944 By Matching Biggest Common Factor Method

Now, list down the factors of 22

1,2,11,22

Now, list down the factors of 82

1,2,41,82

Now, list down the factors of 944

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors 22,82,944 . The biggest common factor number is the GCF number.
So the greatest common factor 22,82,944 is 2.

Lets's calculate LCM of 329,199,816

Lowest Common Multiple of 329,199,816 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 53424336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53424336

Therefore, the GCF of Fractions 22/329,82/199,944/816 is 2/53424336

Least Common Multiple of 329,199,816 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 329,199,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,199,816) = 1

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

GCF(329,199,816) x common factors =1 x 1 = 1

LCM(329,199,816) = ( 329 × 199 × 816 ) / 1

LCM(329,199,816) = 53424336 / 1

LCM(329,199,816) = 53424336

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 22/329, 82/199, 944/816

1. What is the HCF of 22,82,944?

The HCF of 22,82,944 is 2

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 22/329, 82/199, 944/816?

Answer: GCF of Numerators as per given numbers 22/329, 82/199, 944/816 is

GCF of Numerators i.e. for 22,82,944 is 2

LCM of denominators i.e. for 329,199,816 is 53424336.

Thus, GCF of Fractions is 2/53424336.Finally, GCF of Fractions for 22/329, 82/199, 944/816 is 2/53424336.