GCD of 36, 995, 949, 981 Calculator

Given Input numbers are 36, 995, 949, 981

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Greatest Common Divisior

We found the divisors of 36, 995, 949, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 995, 949, 981 is 1.

Therefore, GCD of numbers 36, 995, 949, 981 is 1

Given Input Data is 36, 995, 949, 981

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 995 is 5 x 199

Prime Factorization of 949 is 13 x 73

Prime Factorization of 981 is 3 x 3 x 109

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(36, 995) = 35820

GCD(36, 995) = ( 36 x 995 ) / 35820

GCD(36, 995) = 35820 / 35820

GCD(36, 995) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 981

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

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

GCD(1, 981) = 981 / 981

GCD(1, 981) = 1

GCD of 36, 995, 949, 981 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 196, 242, 136
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• GCD of 22, 721, 616, 774
• GCD of 15, 503, 358, 954

1. What is the GCD of 36, 995, 949, 981?

GCD of 36, 995, 949, 981 is 1

2. Where do I get the detailed procedure to find GCD of 36, 995, 949, 981?

You can find a detailed procedure to find GCD of 36, 995, 949, 981 on our page.

3. How to find GCD of 36, 995, 949, 981 on a calculator?

You can find the GCD of 36, 995, 949, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.