GCD of 722, 607, 107, 564 Calculator

Given Input numbers are 722, 607, 107, 564

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

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 722, 607, 107, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 607, 107, 564 is 1.

Therefore, GCD of numbers 722, 607, 107, 564 is 1

Given Input Data is 722, 607, 107, 564

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 607 is 607

Prime Factorization of 107 is 107

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(722, 607) = 438254

GCD(722, 607) = ( 722 x 607 ) / 438254

GCD(722, 607) = 438254 / 438254

GCD(722, 607) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 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 722, 607, 107, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 339, 999, 456
• GCD of 698, 552, 453, 206
• GCD of 651, 556, 729, 420
• GCD of 489, 643, 968, 236
• GCD of 504, 533, 857, 204

1. What is the GCD of 722, 607, 107, 564?

GCD of 722, 607, 107, 564 is 1

2. Where do I get the detailed procedure to find GCD of 722, 607, 107, 564?

You can find a detailed procedure to find GCD of 722, 607, 107, 564 on our page.

3. How to find GCD of 722, 607, 107, 564 on a calculator?

You can find the GCD of 722, 607, 107, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.