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GCF of 163/60, 533/514

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 163/60, 533/514 i.e 1/15420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 163/60, 533/514.

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 163/60,533/514?

Given fractions are 163/60,533/514

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 163/60,533/514, numerators are 163,533

Denominators are 60,514

The GCF of 163,533 is 1 .

LCM of 60,514 is 15420.

The greatest common factor of 163/60,533/514 = [GCF of 163,533]/[LCM of 60,514]= 1/15420

Therefore, the GCF of 163/60,533/514 is 1/15420.

Greatest Common Factor of 163,533

To find the highest common factor of 163,533, we have to find the factors of both numbers and list the highest common factor.

The factors of 163 are 1, 163

The factors of 533 are 1, 13, 41, 533

The HCF of 163,533 is 1.

Lets's calculate GCF of 163,533

Greatest Common Factor (GCF) of 163,533 By Common Division

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

Greatest Common Factor of 163,533 By Matching Biggest Common Factor Method

Greatest Common Factor of 163,533 By Matching Biggest Common Factor Method

Now, list down the factors of 163

:

1,163

Now, list down the factors of 533

:

1,13,41,533

Greatest Common Factor

We found the factors 163,533 . The biggest common factor number is the GCF number.
So the greatest common factor 163,533 is 1.

Lets's calculate LCM of 60,514

Lowest Common Multiple of 60,514 using Common Division

2 60, 514
30, 257

∴ So the LCM of the given numbers is 2 x 30 x 257 = 15420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15420

Therefore, the GCF of Fractions 163/60,533/514 is 1/15420

Least Common Multiple of 60,514 with GCF Formula

Least Common Multiple of 60,514 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 60,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,514) = 2

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

GCF(60,514) x common factors =2 x 1 = 2

LCM(60,514) = ( 60 × 514 ) / 2

LCM(60,514) = 30840 / 2

LCM(60,514) = 15420


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FAQs on GCF of Fractions of 163/60, 533/514

1. What is the HCF of 163,533?

The HCF of 163,533 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 163/60, 533/514?

Answer: GCF of Numerators as per given numbers 163/60, 533/514 is

GCF of Numerators i.e. for 163,533 is 1

LCM of denominators i.e. for 60,514 is 15420.

Thus, GCF of Fractions is 1/15420.Finally, GCF of Fractions for 163/60, 533/514 is 1/15420.