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GCF of 444/23, 322/488

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 444/23, 322/488 i.e 2/11224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 444/23, 322/488.

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 444/23,322/488?

Given fractions are 444/23,322/488

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 444/23,322/488, numerators are 444,322

Denominators are 23,488

The GCF of 444,322 is 2 .

LCM of 23,488 is 11224.

The greatest common factor of 444/23,322/488 = [GCF of 444,322]/[LCM of 23,488]= 2/11224

Therefore, the GCF of 444/23,322/488 is 2/11224.

Greatest Common Factor of 444,322

To find the highest common factor of 444,322, we have to find the factors of both numbers and list the highest common factor.

The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

The factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322

The HCF of 444,322 is 2.

Lets's calculate GCF of 444,322

Greatest Common Factor (GCF) of 444,322 By Common Division

2 444, 322
222, 161

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

Greatest Common Factor of 444,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,322 By Matching Biggest Common Factor Method

Now, list down the factors of 444

:

1,2,3,4,6,12,37,74,111,148,222,444

Now, list down the factors of 322

:

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 444,322 . The biggest common factor number is the GCF number.
So the greatest common factor 444,322 is 2.

Lets's calculate LCM of 23,488

Lowest Common Multiple of 23,488 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 11224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11224

Therefore, the GCF of Fractions 444/23,322/488 is 2/11224

Least Common Multiple of 23,488 with GCF Formula

Least Common Multiple of 23,488 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 23,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,488) = 1

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

GCF(23,488) x common factors =1 x 1 = 1

LCM(23,488) = ( 23 × 488 ) / 1

LCM(23,488) = 11224 / 1

LCM(23,488) = 11224


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FAQs on GCF of Fractions of 444/23, 322/488

1. What is the HCF of 444,322?

The HCF of 444,322 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 444/23, 322/488?

Answer: GCF of Numerators as per given numbers 444/23, 322/488 is

GCF of Numerators i.e. for 444,322 is 2

LCM of denominators i.e. for 23,488 is 11224.

Thus, GCF of Fractions is 2/11224.Finally, GCF of Fractions for 444/23, 322/488 is 2/11224.