GCD of 578, 376, 87, 565 Calculator

Given Input numbers are 578, 376, 87, 565

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

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 87

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

1, 3, 29, 87

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 578, 376, 87, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 376, 87, 565 is 1.

Therefore, GCD of numbers 578, 376, 87, 565 is 1

Given Input Data is 578, 376, 87, 565

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

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 87 is 3 x 29

Prime Factorization of 565 is 5 x 113

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

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(578, 376) = 108664

GCD(578, 376) = ( 578 x 376 ) / 108664

GCD(578, 376) = 217328 / 108664

GCD(578, 376) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 578, 376, 87, 565 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 485, 131, 75, 238
• GCD of 754, 350, 63, 403
• GCD of 925, 694, 32, 864
• GCD of 701, 701, 11, 318
• GCD of 373, 728, 17, 149

1. What is the GCD of 578, 376, 87, 565?

GCD of 578, 376, 87, 565 is 1

2. Where do I get the detailed procedure to find GCD of 578, 376, 87, 565?

You can find a detailed procedure to find GCD of 578, 376, 87, 565 on our page.

3. How to find GCD of 578, 376, 87, 565 on a calculator?

You can find the GCD of 578, 376, 87, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.