GCD of 101, 608, 422, 692 Calculator

Given Input numbers are 101, 608, 422, 692

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 101, 608, 422, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 608, 422, 692 is 1.

Therefore, GCD of numbers 101, 608, 422, 692 is 1

Given Input Data is 101, 608, 422, 692

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

Prime Factorization of 101 is 101

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 422 is 2 x 211

Prime Factorization of 692 is 2 x 2 x 173

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(101, 608) = 61408

GCD(101, 608) = ( 101 x 608 ) / 61408

GCD(101, 608) = 61408 / 61408

GCD(101, 608) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 692

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

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

GCD(1, 692) = 692 / 692

GCD(1, 692) = 1

GCD of 101, 608, 422, 692 is 1

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1. What is the GCD of 101, 608, 422, 692?

GCD of 101, 608, 422, 692 is 1

2. Where do I get the detailed procedure to find GCD of 101, 608, 422, 692?

You can find a detailed procedure to find GCD of 101, 608, 422, 692 on our page.

3. How to find GCD of 101, 608, 422, 692 on a calculator?

You can find the GCD of 101, 608, 422, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.