GCD of 625, 553, 53, 660 Calculator

Given Input numbers are 625, 553, 53, 660

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

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 553

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

1, 7, 79, 553

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 625, 553, 53, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 553, 53, 660 is 1.

Therefore, GCD of numbers 625, 553, 53, 660 is 1

Given Input Data is 625, 553, 53, 660

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

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 553 is 7 x 79

Prime Factorization of 53 is 53

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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(625, 553) = 345625

GCD(625, 553) = ( 625 x 553 ) / 345625

GCD(625, 553) = 345625 / 345625

GCD(625, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 625, 553, 53, 660 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 472, 306, 94, 892
• GCD of 727, 747, 44, 140
• GCD of 325, 292, 47, 100
• GCD of 413, 926, 61, 671
• GCD of 490, 616, 21, 396

1. What is the GCD of 625, 553, 53, 660?

GCD of 625, 553, 53, 660 is 1

2. Where do I get the detailed procedure to find GCD of 625, 553, 53, 660?

You can find a detailed procedure to find GCD of 625, 553, 53, 660 on our page.

3. How to find GCD of 625, 553, 53, 660 on a calculator?

You can find the GCD of 625, 553, 53, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.