GCD of 564, 521, 70, 722 Calculator

Given Input numbers are 564, 521, 70, 722

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 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 722

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

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 564, 521, 70, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 521, 70, 722 is 1.

Therefore, GCD of numbers 564, 521, 70, 722 is 1

Given Input Data is 564, 521, 70, 722

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 521 is 521

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 722 is 2 x 19 x 19

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, 521) = 293844

GCD(564, 521) = ( 564 x 521 ) / 293844

GCD(564, 521) = 293844 / 293844

GCD(564, 521) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

GCD of 564, 521, 70, 722 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 397, 54, 941
• GCD of 125, 986, 51, 907
• GCD of 708, 514, 55, 158
• GCD of 532, 239, 52, 577
• GCD of 573, 234, 51, 365

1. What is the GCD of 564, 521, 70, 722?

GCD of 564, 521, 70, 722 is 1

2. Where do I get the detailed procedure to find GCD of 564, 521, 70, 722?

You can find a detailed procedure to find GCD of 564, 521, 70, 722 on our page.

3. How to find GCD of 564, 521, 70, 722 on a calculator?

You can find the GCD of 564, 521, 70, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.