GCD of 598, 133, 85, 987 Calculator

Given Input numbers are 598, 133, 85, 987

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 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 598, 133, 85, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 133, 85, 987 is 1.

Therefore, GCD of numbers 598, 133, 85, 987 is 1

Given Input Data is 598, 133, 85, 987

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 133 is 7 x 19

Prime Factorization of 85 is 5 x 17

Prime Factorization of 987 is 3 x 7 x 47

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, 133) = 79534

GCD(598, 133) = ( 598 x 133 ) / 79534

GCD(598, 133) = 79534 / 79534

GCD(598, 133) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

GCD of 598, 133, 85, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 151, 76, 555
• GCD of 982, 367, 59, 760
• GCD of 131, 105, 11, 661
• GCD of 669, 285, 66, 182
• GCD of 703, 155, 22, 472

1. What is the GCD of 598, 133, 85, 987?

GCD of 598, 133, 85, 987 is 1

2. Where do I get the detailed procedure to find GCD of 598, 133, 85, 987?

You can find a detailed procedure to find GCD of 598, 133, 85, 987 on our page.

3. How to find GCD of 598, 133, 85, 987 on a calculator?

You can find the GCD of 598, 133, 85, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.