GCD of 642, 122, 71, 535 Calculator

Given Input numbers are 642, 122, 71, 535

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

Divisors of 642

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

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

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Greatest Common Divisior

We found the divisors of 642, 122, 71, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 122, 71, 535 is 1.

Therefore, GCD of numbers 642, 122, 71, 535 is 1

Given Input Data is 642, 122, 71, 535

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 122 is 2 x 61

Prime Factorization of 71 is 71

Prime Factorization of 535 is 5 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(642, 122) = 39162

GCD(642, 122) = ( 642 x 122 ) / 39162

GCD(642, 122) = 78324 / 39162

GCD(642, 122) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 535

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

LCM(1, 535) = 535

GCD(1, 535) = ( 1 x 535 ) / 535

GCD(1, 535) = 535 / 535

GCD(1, 535) = 1

GCD of 642, 122, 71, 535 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 837, 56, 627
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• GCD of 593, 286, 61, 913
• GCD of 296, 691, 29, 999
• GCD of 706, 226, 38, 663

1. What is the GCD of 642, 122, 71, 535?

GCD of 642, 122, 71, 535 is 1

2. Where do I get the detailed procedure to find GCD of 642, 122, 71, 535?

You can find a detailed procedure to find GCD of 642, 122, 71, 535 on our page.

3. How to find GCD of 642, 122, 71, 535 on a calculator?

You can find the GCD of 642, 122, 71, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.