GCD of 60, 639, 553, 715 Calculator

Given Input numbers are 60, 639, 553, 715

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 60, 639, 553, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 639, 553, 715 is 1.

Therefore, GCD of numbers 60, 639, 553, 715 is 1

Given Input Data is 60, 639, 553, 715

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 639 is 3 x 3 x 71

Prime Factorization of 553 is 7 x 79

Prime Factorization of 715 is 5 x 11 x 13

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(60, 639) = 12780

GCD(60, 639) = ( 60 x 639 ) / 12780

GCD(60, 639) = 38340 / 12780

GCD(60, 639) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 553

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

LCM(3, 553) = 1659

GCD(3, 553) = ( 3 x 553 ) / 1659

GCD(3, 553) = 1659 / 1659

GCD(3, 553) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

GCD of 60, 639, 553, 715 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 56, 648, 143, 434
• GCD of 50, 113, 607, 135
• GCD of 90, 433, 782, 219
• GCD of 19, 865, 722, 610
• GCD of 95, 741, 992, 391

1. What is the GCD of 60, 639, 553, 715?

GCD of 60, 639, 553, 715 is 1

2. Where do I get the detailed procedure to find GCD of 60, 639, 553, 715?

You can find a detailed procedure to find GCD of 60, 639, 553, 715 on our page.

3. How to find GCD of 60, 639, 553, 715 on a calculator?

You can find the GCD of 60, 639, 553, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.