GCD of 220, 565, 628, 786 Calculator

Given Input numbers are 220, 565, 628, 786

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 565

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

1, 5, 113, 565

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 786

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

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

Greatest Common Divisior

We found the divisors of 220, 565, 628, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 565, 628, 786 is 1.

Therefore, GCD of numbers 220, 565, 628, 786 is 1

Given Input Data is 220, 565, 628, 786

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 565 is 5 x 113

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 786 is 2 x 3 x 131

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(220, 565) = 24860

GCD(220, 565) = ( 220 x 565 ) / 24860

GCD(220, 565) = 124300 / 24860

GCD(220, 565) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 628

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

LCM(5, 628) = 3140

GCD(5, 628) = ( 5 x 628 ) / 3140

GCD(5, 628) = 3140 / 3140

GCD(5, 628) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 786

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

LCM(1, 786) = 786

GCD(1, 786) = ( 1 x 786 ) / 786

GCD(1, 786) = 786 / 786

GCD(1, 786) = 1

GCD of 220, 565, 628, 786 is 1

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1. What is the GCD of 220, 565, 628, 786?

GCD of 220, 565, 628, 786 is 1

2. Where do I get the detailed procedure to find GCD of 220, 565, 628, 786?

You can find a detailed procedure to find GCD of 220, 565, 628, 786 on our page.

3. How to find GCD of 220, 565, 628, 786 on a calculator?

You can find the GCD of 220, 565, 628, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.