How to Find GCF of 512/315, 915/808?

GCF of 512/315, 915/808

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 512/315, 915/808 i.e 1/254520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 512/315, 915/808.

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 512/315,915/808?

Given fractions are 512/315,915/808

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 512/315,915/808, numerators are 512,915

Denominators are 315,808

The GCF of 512,915 is 1 .

LCM of 315,808 is 254520.

The greatest common factor of 512/315,915/808 = [GCF of 512,915]/[LCM of 315,808]= 1/254520

Therefore, the GCF of 512/315,915/808 is 1/254520.

Greatest Common Factor of 512,915

To find the highest common factor of 512,915, we have to find the factors of both numbers and list the highest common factor.

The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

The factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915

The HCF of 512,915 is 1.

Lets's calculate GCF of 512,915

Greatest Common Factor (GCF) of 512,915 By Common Division

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

Greatest Common Factor of 512,915 By Matching Biggest Common Factor Method

Now, list down the factors of 512

1,2,4,8,16,32,64,128,256,512

Now, list down the factors of 915

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 512,915 . The biggest common factor number is the GCF number.
So the greatest common factor 512,915 is 1.

Lets's calculate LCM of 315,808

Lowest Common Multiple of 315,808 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 254520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/254520

Therefore, the GCF of Fractions 512/315,915/808 is 1/254520

Least Common Multiple of 315,808 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 315,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,808) = 1

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

GCF(315,808) x common factors =1 x 1 = 1

LCM(315,808) = ( 315 × 808 ) / 1

LCM(315,808) = 254520 / 1

LCM(315,808) = 254520

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FAQs on GCF of Fractions of 512/315, 915/808

1. What is the HCF of 512,915?

The HCF of 512,915 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 512/315, 915/808?

Answer: GCF of Numerators as per given numbers 512/315, 915/808 is

GCF of Numerators i.e. for 512,915 is 1

LCM of denominators i.e. for 315,808 is 254520.

Thus, GCF of Fractions is 1/254520.Finally, GCF of Fractions for 512/315, 915/808 is 1/254520.