GCD of 460, 786, 55, 564 Calculator

Given Input numbers are 460, 786, 55, 564

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

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

Greatest Common Divisior

We found the divisors of 460, 786, 55, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 786, 55, 564 is 1.

Therefore, GCD of numbers 460, 786, 55, 564 is 1

Given Input Data is 460, 786, 55, 564

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 55 is 5 x 11

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

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(460, 786) = 180780

GCD(460, 786) = ( 460 x 786 ) / 180780

GCD(460, 786) = 361560 / 180780

GCD(460, 786) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 55

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

LCM(2, 55) = 110

GCD(2, 55) = ( 2 x 55 ) / 110

GCD(2, 55) = 110 / 110

GCD(2, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

GCD of 460, 786, 55, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 435, 92, 867
• GCD of 298, 533, 96, 601
• GCD of 550, 232, 58, 103
• GCD of 841, 334, 39, 607
• GCD of 314, 326, 69, 959

1. What is the GCD of 460, 786, 55, 564?

GCD of 460, 786, 55, 564 is 1

2. Where do I get the detailed procedure to find GCD of 460, 786, 55, 564?

You can find a detailed procedure to find GCD of 460, 786, 55, 564 on our page.

3. How to find GCD of 460, 786, 55, 564 on a calculator?

You can find the GCD of 460, 786, 55, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.