How to Find GCF of 533/31, 936/306?

GCF of 533/31, 936/306

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 533/31, 936/306 i.e 13/9486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 533/31, 936/306.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 533/31,936/306?

Given fractions are 533/31,936/306

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 533/31,936/306, numerators are 533,936

Denominators are 31,306

The GCF of 533,936 is 13 .

LCM of 31,306 is 9486.

The greatest common factor of 533/31,936/306 = [GCF of 533,936]/[LCM of 31,306]= 13/9486

Therefore, the GCF of 533/31,936/306 is 13/9486.

Greatest Common Factor of 533,936

To find the highest common factor of 533,936, 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 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

The HCF of 533,936 is 13.

Lets's calculate GCF of 533,936

Greatest Common Factor (GCF) of 533,936 By Common Division

13	533, 936
	41, 72

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 533,936 By Matching Biggest Common Factor Method

Now, list down the factors of 533

1,13,41,533

Now, list down the factors of 936

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 533,936 . The biggest common factor number is the GCF number.
So the greatest common factor 533,936 is 13.

Lets's calculate LCM of 31,306

Lowest Common Multiple of 31,306 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9486

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/9486

Therefore, the GCF of Fractions 533/31,936/306 is 13/9486

Least Common Multiple of 31,306 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 31,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,306) = 1

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

GCF(31,306) x common factors =1 x 1 = 1

LCM(31,306) = ( 31 × 306 ) / 1

LCM(31,306) = 9486 / 1

LCM(31,306) = 9486

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FAQs on GCF of Fractions of 533/31, 936/306

1. What is the HCF of 533,936?

The HCF of 533,936 is 13

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 533/31, 936/306?

Answer: GCF of Numerators as per given numbers 533/31, 936/306 is

GCF of Numerators i.e. for 533,936 is 13

LCM of denominators i.e. for 31,306 is 9486.

Thus, GCF of Fractions is 13/9486.Finally, GCF of Fractions for 533/31, 936/306 is 13/9486.