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GCF of 444/93, 376/223

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 444/93, 376/223 i.e 4/20739 easily. The following is the detailed procedure to determine the greatest common factor of fractions 444/93, 376/223.

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 444/93,376/223?

Given fractions are 444/93,376/223

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 444/93,376/223, numerators are 444,376

Denominators are 93,223

The GCF of 444,376 is 4 .

LCM of 93,223 is 20739.

The greatest common factor of 444/93,376/223 = [GCF of 444,376]/[LCM of 93,223]= 4/20739

Therefore, the GCF of 444/93,376/223 is 4/20739.

Greatest Common Factor of 444,376

To find the highest common factor of 444,376, 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 376 are 1, 2, 4, 8, 47, 94, 188, 376

The HCF of 444,376 is 4.

Lets's calculate GCF of 444,376

Greatest Common Factor (GCF) of 444,376 By Common Division

2 444, 376
2 222, 188
111, 94

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 444,376 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,376 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 376

:

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 444,376 . The biggest common factor number is the GCF number.
So the greatest common factor 444,376 is 4.

Lets's calculate LCM of 93,223

Lowest Common Multiple of 93,223 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 20739

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/20739

Therefore, the GCF of Fractions 444/93,376/223 is 4/20739

Least Common Multiple of 93,223 with GCF Formula

Least Common Multiple of 93,223 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 93,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,223) = 1

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

GCF(93,223) x common factors =1 x 1 = 1

LCM(93,223) = ( 93 × 223 ) / 1

LCM(93,223) = 20739 / 1

LCM(93,223) = 20739


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FAQs on GCF of Fractions of 444/93, 376/223

1. What is the HCF of 444,376?

The HCF of 444,376 is 4

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 444/93, 376/223?

Answer: GCF of Numerators as per given numbers 444/93, 376/223 is

GCF of Numerators i.e. for 444,376 is 4

LCM of denominators i.e. for 93,223 is 20739.

Thus, GCF of Fractions is 4/20739.Finally, GCF of Fractions for 444/93, 376/223 is 4/20739.