GCD of 997, 649, 101, 659 Calculator

Given Input numbers are 997, 649, 101, 659

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

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 101

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

1, 101

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 997, 649, 101, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 649, 101, 659 is 1.

Therefore, GCD of numbers 997, 649, 101, 659 is 1

Given Input Data is 997, 649, 101, 659

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

Prime Factorization of 997 is 997

Prime Factorization of 649 is 11 x 59

Prime Factorization of 101 is 101

Prime Factorization of 659 is 659

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(997, 649) = 647053

GCD(997, 649) = ( 997 x 649 ) / 647053

GCD(997, 649) = 647053 / 647053

GCD(997, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 997, 649, 101, 659 is 1

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1. What is the GCD of 997, 649, 101, 659?

GCD of 997, 649, 101, 659 is 1

2. Where do I get the detailed procedure to find GCD of 997, 649, 101, 659?

You can find a detailed procedure to find GCD of 997, 649, 101, 659 on our page.

3. How to find GCD of 997, 649, 101, 659 on a calculator?

You can find the GCD of 997, 649, 101, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.