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GCF of 442/30, 264/439

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 442/30, 264/439 i.e 2/13170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 442/30, 264/439.

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 442/30,264/439?

Given fractions are 442/30,264/439

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 442/30,264/439, numerators are 442,264

Denominators are 30,439

The GCF of 442,264 is 2 .

LCM of 30,439 is 13170.

The greatest common factor of 442/30,264/439 = [GCF of 442,264]/[LCM of 30,439]= 2/13170

Therefore, the GCF of 442/30,264/439 is 2/13170.

Greatest Common Factor of 442,264

To find the highest common factor of 442,264, we have to find the factors of both numbers and list the highest common factor.

The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442

The factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

The HCF of 442,264 is 2.

Lets's calculate GCF of 442,264

Greatest Common Factor (GCF) of 442,264 By Common Division

2 442, 264
221, 132

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

Greatest Common Factor of 442,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,264 By Matching Biggest Common Factor Method

Now, list down the factors of 442

:

1,2,13,17,26,34,221,442

Now, list down the factors of 264

:

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 442,264 . The biggest common factor number is the GCF number.
So the greatest common factor 442,264 is 2.

Lets's calculate LCM of 30,439

Lowest Common Multiple of 30,439 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 13170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13170

Therefore, the GCF of Fractions 442/30,264/439 is 2/13170

Least Common Multiple of 30,439 with GCF Formula

Least Common Multiple of 30,439 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 30,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,439) = 1

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

GCF(30,439) x common factors =1 x 1 = 1

LCM(30,439) = ( 30 × 439 ) / 1

LCM(30,439) = 13170 / 1

LCM(30,439) = 13170


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FAQs on GCF of Fractions of 442/30, 264/439

1. What is the HCF of 442,264?

The HCF of 442,264 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 442/30, 264/439?

Answer: GCF of Numerators as per given numbers 442/30, 264/439 is

GCF of Numerators i.e. for 442,264 is 2

LCM of denominators i.e. for 30,439 is 13170.

Thus, GCF of Fractions is 2/13170.Finally, GCF of Fractions for 442/30, 264/439 is 2/13170.