GCD of 598, 210, 651, 135 Calculator

Given Input numbers are 598, 210, 651, 135

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 598, 210, 651, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 210, 651, 135 is 1.

Therefore, GCD of numbers 598, 210, 651, 135 is 1

Given Input Data is 598, 210, 651, 135

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 135 is 3 x 3 x 3 x 5

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(598, 210) = 62790

GCD(598, 210) = ( 598 x 210 ) / 62790

GCD(598, 210) = 125580 / 62790

GCD(598, 210) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 651

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

LCM(2, 651) = 1302

GCD(2, 651) = ( 2 x 651 ) / 1302

GCD(2, 651) = 1302 / 1302

GCD(2, 651) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

GCD of 598, 210, 651, 135 is 1

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1. What is the GCD of 598, 210, 651, 135?

GCD of 598, 210, 651, 135 is 1

2. Where do I get the detailed procedure to find GCD of 598, 210, 651, 135?

You can find a detailed procedure to find GCD of 598, 210, 651, 135 on our page.

3. How to find GCD of 598, 210, 651, 135 on a calculator?

You can find the GCD of 598, 210, 651, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.