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GCF of 442/614, 863/512

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 442/614, 863/512 i.e 1/157184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 442/614, 863/512.

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 442/614,863/512?

Given fractions are 442/614,863/512

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 442/614,863/512, numerators are 442,863

Denominators are 614,512

The GCF of 442,863 is 1 .

LCM of 614,512 is 157184.

The greatest common factor of 442/614,863/512 = [GCF of 442,863]/[LCM of 614,512]= 1/157184

Therefore, the GCF of 442/614,863/512 is 1/157184.

Greatest Common Factor of 442,863

To find the highest common factor of 442,863, 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 863 are 1, 863

The HCF of 442,863 is 1.

Lets's calculate GCF of 442,863

Greatest Common Factor (GCF) of 442,863 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 442,863 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,863 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 863

:

1,863

Greatest Common Factor

We found the factors 442,863 . The biggest common factor number is the GCF number.
So the greatest common factor 442,863 is 1.

Lets's calculate LCM of 614,512

Lowest Common Multiple of 614,512 using Common Division

2 614, 512
307, 256

∴ So the LCM of the given numbers is 2 x 307 x 256 = 157184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157184

Therefore, the GCF of Fractions 442/614,863/512 is 1/157184

Least Common Multiple of 614,512 with GCF Formula

Least Common Multiple of 614,512 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 614,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,512) = 2

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

GCF(614,512) x common factors =2 x 1 = 2

LCM(614,512) = ( 614 × 512 ) / 2

LCM(614,512) = 314368 / 2

LCM(614,512) = 157184


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FAQs on GCF of Fractions of 442/614, 863/512

1. What is the HCF of 442,863?

The HCF of 442,863 is 1

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 442/614, 863/512?

Answer: GCF of Numerators as per given numbers 442/614, 863/512 is

GCF of Numerators i.e. for 442,863 is 1

LCM of denominators i.e. for 614,512 is 157184.

Thus, GCF of Fractions is 1/157184.Finally, GCF of Fractions for 442/614, 863/512 is 1/157184.