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GCF of 513/60, 159/6443

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 513/60, 159/6443 i.e 3/386580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 513/60, 159/6443.

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 513/60,159/6443?

Given fractions are 513/60,159/6443

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 513/60,159/6443, numerators are 513,159

Denominators are 60,6443

The GCF of 513,159 is 3 .

LCM of 60,6443 is 386580.

The greatest common factor of 513/60,159/6443 = [GCF of 513,159]/[LCM of 60,6443]= 3/386580

Therefore, the GCF of 513/60,159/6443 is 3/386580.

Greatest Common Factor of 513,159

To find the highest common factor of 513,159, we have to find the factors of both numbers and list the highest common factor.

The factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513

The factors of 159 are 1, 3, 53, 159

The HCF of 513,159 is 3.

Lets's calculate GCF of 513,159

Greatest Common Factor (GCF) of 513,159 By Common Division

3 513, 159
171, 53

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 513,159 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,159 By Matching Biggest Common Factor Method

Now, list down the factors of 513

:

1,3,9,19,27,57,171,513

Now, list down the factors of 159

:

1,3,53,159

Greatest Common Factor

We found the factors 513,159 . The biggest common factor number is the GCF number.
So the greatest common factor 513,159 is 3.

Lets's calculate LCM of 60,6443

Lowest Common Multiple of 60,6443 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 386580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/386580

Therefore, the GCF of Fractions 513/60,159/6443 is 3/386580

Least Common Multiple of 60,6443 with GCF Formula

Least Common Multiple of 60,6443 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 60,6443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,6443) = 1

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

GCF(60,6443) x common factors =1 x 1 = 1

LCM(60,6443) = ( 60 × 6443 ) / 1

LCM(60,6443) = 386580 / 1

LCM(60,6443) = 386580


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FAQs on GCF of Fractions of 513/60, 159/6443

1. What is the HCF of 513,159?

The HCF of 513,159 is 3

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 513/60, 159/6443?

Answer: GCF of Numerators as per given numbers 513/60, 159/6443 is

GCF of Numerators i.e. for 513,159 is 3

LCM of denominators i.e. for 60,6443 is 386580.

Thus, GCF of Fractions is 3/386580.Finally, GCF of Fractions for 513/60, 159/6443 is 3/386580.