GCD of 562, 314, 87 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 562, 314, 87 i.e. 1 largest integer that divides all the numbers equally.

GCD of 562, 314, 87 is 1

GCD(562, 314, 87) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 562, 314, 87 is 1

GCD(562, 314, 87) = 1

GCD of 562,314,87 Calculator

GCDof 562,314,87 is 1

Given Input numbers are 562, 314, 87

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Greatest Common Divisior

We found the divisors of 562, 314, 87 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 314, 87 is 1.

Therefore, GCD of numbers 562, 314, 87 is 1

Finding GCD of 562, 314, 87 using Prime Factorization

Given Input Data is 562, 314, 87

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 562 is 2 x 281

Prime Factorization of 314 is 2 x 157

Prime Factorization of 87 is 3 x 29

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 562, 314, 87 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(562, 314) = 88234

GCD(562, 314) = ( 562 x 314 ) / 88234

GCD(562, 314) = 176468 / 88234

GCD(562, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 87

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

GCD(2, 87) = 174 / 174

GCD(2, 87) = 1

GCD of 562, 314, 87 is 1

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FAQs on GCD of numbers 562, 314, 87

1. What is the GCD of 562, 314, 87?

GCD of 562, 314, 87 is 1

2. Where do I get the detailed procedure to find GCD of 562, 314, 87?

You can find a detailed procedure to find GCD of 562, 314, 87 on our page.

3. How to find GCD of 562, 314, 87 on a calculator?

You can find the GCD of 562, 314, 87 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.