GCD of 657, 675, 70, 529 Calculator

Given Input numbers are 657, 675, 70, 529

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Greatest Common Divisior

We found the divisors of 657, 675, 70, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 675, 70, 529 is 1.

Therefore, GCD of numbers 657, 675, 70, 529 is 1

Given Input Data is 657, 675, 70, 529

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 529 is 23 x 23

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(657, 675) = 49275

GCD(657, 675) = ( 657 x 675 ) / 49275

GCD(657, 675) = 443475 / 49275

GCD(657, 675) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 70

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

LCM(9, 70) = 630

GCD(9, 70) = ( 9 x 70 ) / 630

GCD(9, 70) = 630 / 630

GCD(9, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 529

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

LCM(1, 529) = 529

GCD(1, 529) = ( 1 x 529 ) / 529

GCD(1, 529) = 529 / 529

GCD(1, 529) = 1

GCD of 657, 675, 70, 529 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 314, 330, 75, 848
• GCD of 925, 649, 76, 536
• GCD of 143, 212, 82, 686
• GCD of 736, 450, 11, 229
• GCD of 390, 181, 98, 581

1. What is the GCD of 657, 675, 70, 529?

GCD of 657, 675, 70, 529 is 1

2. Where do I get the detailed procedure to find GCD of 657, 675, 70, 529?

You can find a detailed procedure to find GCD of 657, 675, 70, 529 on our page.

3. How to find GCD of 657, 675, 70, 529 on a calculator?

You can find the GCD of 657, 675, 70, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.