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GCF of 444/66, 316/204

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 444/66, 316/204 i.e 4/2244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 444/66, 316/204.

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 444/66,316/204?

Given fractions are 444/66,316/204

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 444/66,316/204, numerators are 444,316

Denominators are 66,204

The GCF of 444,316 is 4 .

LCM of 66,204 is 2244.

The greatest common factor of 444/66,316/204 = [GCF of 444,316]/[LCM of 66,204]= 4/2244

Therefore, the GCF of 444/66,316/204 is 4/2244.

Greatest Common Factor of 444,316

To find the highest common factor of 444,316, 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 316 are 1, 2, 4, 79, 158, 316

The HCF of 444,316 is 4.

Lets's calculate GCF of 444,316

Greatest Common Factor (GCF) of 444,316 By Common Division

2 444, 316
2 222, 158
111, 79

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

Greatest Common Factor of 444,316 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,316 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 316

:

1,2,4,79,158,316

Greatest Common Factor

We found the factors 444,316 . The biggest common factor number is the GCF number.
So the greatest common factor 444,316 is 4.

Lets's calculate LCM of 66,204

Lowest Common Multiple of 66,204 using Common Division

2 66, 204
3 33, 102
11, 34

∴ So the LCM of the given numbers is 2 x 3 x 11 x 34 = 2244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2244

Therefore, the GCF of Fractions 444/66,316/204 is 4/2244

Least Common Multiple of 66,204 with GCF Formula

Least Common Multiple of 66,204 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 66,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,204) = 6

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

GCF(66,204) x common factors =6 x 1 = 6

LCM(66,204) = ( 66 × 204 ) / 6

LCM(66,204) = 13464 / 6

LCM(66,204) = 2244


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FAQs on GCF of Fractions of 444/66, 316/204

1. What is the HCF of 444,316?

The HCF of 444,316 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 444/66, 316/204?

Answer: GCF of Numerators as per given numbers 444/66, 316/204 is

GCF of Numerators i.e. for 444,316 is 4

LCM of denominators i.e. for 66,204 is 2244.

Thus, GCF of Fractions is 4/2244.Finally, GCF of Fractions for 444/66, 316/204 is 4/2244.