How to Find GCF of 15/52, 64/33, 310/814?

GCF of 15/52, 64/33, 310/814

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 15/52, 64/33, 310/814 i.e 1/63492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/52, 64/33, 310/814.

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 15/52,64/33,310/814?

Given fractions are 15/52,64/33,310/814

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 15/52,64/33,310/814, numerators are 15,64,310

Denominators are 52,33,814

The GCF of 15,64,310 is 1 .

LCM of 52,33,814 is 63492.

The greatest common factor of 15/52,64/33,310/814 = [GCF of 15,64,310]/[LCM of 52,33,814]= 1/63492

Therefore, the GCF of 15/52,64/33,310/814 is 1/63492.

Greatest Common Factor of 15,64,310

To find the highest common factor of 15,64,310, we have to find the factors of both numbers and list the highest common factor.

The factors of 15 are 1, 3, 5, 15

The factors of 64 are 1, 2, 4, 8, 16, 32, 64

The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310

The HCF of 15,64,310 is 1.

Lets's calculate GCF of 15,64,310

Greatest Common Factor (GCF) of 15,64,310 By Common Division

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

Greatest Common Factor of 15,64,310 By Matching Biggest Common Factor Method

Now, list down the factors of 15

1,3,5,15

Now, list down the factors of 64

1,2,4,8,16,32,64

Now, list down the factors of 310

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 15,64,310 . The biggest common factor number is the GCF number.
So the greatest common factor 15,64,310 is 1.

Lets's calculate LCM of 52,33,814

Lowest Common Multiple of 52,33,814 using Common Division

2	52, 33, 814
11	26, 33, 407
	26, 3, 37

∴ So the LCM of the given numbers is 2 x 11 x 26 x 3 x 37 = 63492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63492

Therefore, the GCF of Fractions 15/52,64/33,310/814 is 1/63492

Least Common Multiple of 52,33,814 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 52,33,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,33,814) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(52,33,814) x common factors =1 x 22 = 22

LCM(52,33,814) = ( 52 × 33 × 814 ) / 22

LCM(52,33,814) = 1396824 / 22

LCM(52,33,814) = 63492

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 15/52, 64/33, 310/814

1. What is the HCF of 15,64,310?

The HCF of 15,64,310 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 15/52, 64/33, 310/814?

Answer: GCF of Numerators as per given numbers 15/52, 64/33, 310/814 is

GCF of Numerators i.e. for 15,64,310 is 1

LCM of denominators i.e. for 52,33,814 is 63492.

Thus, GCF of Fractions is 1/63492.Finally, GCF of Fractions for 15/52, 64/33, 310/814 is 1/63492.