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GCF of 533/208, 4965/462

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 533/208, 4965/462 i.e 1/48048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 533/208, 4965/462.

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 533/208,4965/462?

Given fractions are 533/208,4965/462

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 533/208,4965/462, numerators are 533,4965

Denominators are 208,462

The GCF of 533,4965 is 1 .

LCM of 208,462 is 48048.

The greatest common factor of 533/208,4965/462 = [GCF of 533,4965]/[LCM of 208,462]= 1/48048

Therefore, the GCF of 533/208,4965/462 is 1/48048.

Greatest Common Factor of 533,4965

To find the highest common factor of 533,4965, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 4965 are 1, 3, 5, 15, 331, 993, 1655, 4965

The HCF of 533,4965 is 1.

Lets's calculate GCF of 533,4965

Greatest Common Factor (GCF) of 533,4965 By Common Division

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

Greatest Common Factor of 533,4965 By Matching Biggest Common Factor Method

Greatest Common Factor of 533,4965 By Matching Biggest Common Factor Method

Now, list down the factors of 533

:

1,13,41,533

Now, list down the factors of 4965

:

1,3,5,15,331,993,1655,4965

Greatest Common Factor

We found the factors 533,4965 . The biggest common factor number is the GCF number.
So the greatest common factor 533,4965 is 1.

Lets's calculate LCM of 208,462

Lowest Common Multiple of 208,462 using Common Division

2 208, 462
104, 231

∴ So the LCM of the given numbers is 2 x 104 x 231 = 48048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48048

Therefore, the GCF of Fractions 533/208,4965/462 is 1/48048

Least Common Multiple of 208,462 with GCF Formula

Least Common Multiple of 208,462 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 208,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,462) = 2

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

GCF(208,462) x common factors =2 x 1 = 2

LCM(208,462) = ( 208 × 462 ) / 2

LCM(208,462) = 96096 / 2

LCM(208,462) = 48048


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FAQs on GCF of Fractions of 533/208, 4965/462

1. What is the HCF of 533,4965?

The HCF of 533,4965 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 533/208, 4965/462?

Answer: GCF of Numerators as per given numbers 533/208, 4965/462 is

GCF of Numerators i.e. for 533,4965 is 1

LCM of denominators i.e. for 208,462 is 48048.

Thus, GCF of Fractions is 1/48048.Finally, GCF of Fractions for 533/208, 4965/462 is 1/48048.