GCD of 36, 763, 101, 149 Calculator

Given Input numbers are 36, 763, 101, 149

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 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 101

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

1, 101

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 36, 763, 101, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 763, 101, 149 is 1.

Therefore, GCD of numbers 36, 763, 101, 149 is 1

Given Input Data is 36, 763, 101, 149

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 763 is 7 x 109

Prime Factorization of 101 is 101

Prime Factorization of 149 is 149

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, 763) = 27468

GCD(36, 763) = ( 36 x 763 ) / 27468

GCD(36, 763) = 27468 / 27468

GCD(36, 763) = 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 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 36, 763, 101, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 51, 113, 663, 799
• GCD of 57, 176, 171, 279
• GCD of 60, 322, 315, 904
• GCD of 81, 358, 515, 448
• GCD of 38, 419, 634, 619

1. What is the GCD of 36, 763, 101, 149?

GCD of 36, 763, 101, 149 is 1

2. Where do I get the detailed procedure to find GCD of 36, 763, 101, 149?

You can find a detailed procedure to find GCD of 36, 763, 101, 149 on our page.

3. How to find GCD of 36, 763, 101, 149 on a calculator?

You can find the GCD of 36, 763, 101, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.