GCD of 85, 993, 139, 642 Calculator

Given Input numbers are 85, 993, 139, 642

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

Divisors of 85

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

1, 5, 17, 85

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 85, 993, 139, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 993, 139, 642 is 1.

Therefore, GCD of numbers 85, 993, 139, 642 is 1

Given Input Data is 85, 993, 139, 642

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 993 is 3 x 331

Prime Factorization of 139 is 139

Prime Factorization of 642 is 2 x 3 x 107

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(85, 993) = 84405

GCD(85, 993) = ( 85 x 993 ) / 84405

GCD(85, 993) = 84405 / 84405

GCD(85, 993) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 139

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

LCM(1, 139) = 139

GCD(1, 139) = ( 1 x 139 ) / 139

GCD(1, 139) = 139 / 139

GCD(1, 139) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 85, 993, 139, 642 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 592, 308, 259
• GCD of 18, 681, 304, 913
• GCD of 97, 105, 560, 565
• GCD of 44, 311, 804, 243
• GCD of 56, 843, 257, 455

1. What is the GCD of 85, 993, 139, 642?

GCD of 85, 993, 139, 642 is 1

2. Where do I get the detailed procedure to find GCD of 85, 993, 139, 642?

You can find a detailed procedure to find GCD of 85, 993, 139, 642 on our page.

3. How to find GCD of 85, 993, 139, 642 on a calculator?

You can find the GCD of 85, 993, 139, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.