GCD of 564, 615, 46, 963 Calculator

Given Input numbers are 564, 615, 46, 963

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 564, 615, 46, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 615, 46, 963 is 1.

Therefore, GCD of numbers 564, 615, 46, 963 is 1

Given Input Data is 564, 615, 46, 963

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 46 is 2 x 23

Prime Factorization of 963 is 3 x 3 x 107

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(564, 615) = 115620

GCD(564, 615) = ( 564 x 615 ) / 115620

GCD(564, 615) = 346860 / 115620

GCD(564, 615) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 46

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

LCM(3, 46) = 138

GCD(3, 46) = ( 3 x 46 ) / 138

GCD(3, 46) = 138 / 138

GCD(3, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 963

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

LCM(1, 963) = 963

GCD(1, 963) = ( 1 x 963 ) / 963

GCD(1, 963) = 963 / 963

GCD(1, 963) = 1

GCD of 564, 615, 46, 963 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 852, 61, 930
• GCD of 880, 425, 78, 793
• GCD of 452, 558, 30, 393
• GCD of 193, 113, 19, 645
• GCD of 490, 172, 53, 902

1. What is the GCD of 564, 615, 46, 963?

GCD of 564, 615, 46, 963 is 1

2. Where do I get the detailed procedure to find GCD of 564, 615, 46, 963?

You can find a detailed procedure to find GCD of 564, 615, 46, 963 on our page.

3. How to find GCD of 564, 615, 46, 963 on a calculator?

You can find the GCD of 564, 615, 46, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.