GCD of 36, 760, 147, 836 Calculator

Given Input numbers are 36, 760, 147, 836

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 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Greatest Common Divisior

We found the divisors of 36, 760, 147, 836 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 760, 147, 836 is 1.

Therefore, GCD of numbers 36, 760, 147, 836 is 1

Given Input Data is 36, 760, 147, 836

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 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 836 is 2 x 2 x 11 x 19

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, 760) = 6840

GCD(36, 760) = ( 36 x 760 ) / 6840

GCD(36, 760) = 27360 / 6840

GCD(36, 760) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 147

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

LCM(4, 147) = 588

GCD(4, 147) = ( 4 x 147 ) / 588

GCD(4, 147) = 588 / 588

GCD(4, 147) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 836

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

LCM(1, 836) = 836

GCD(1, 836) = ( 1 x 836 ) / 836

GCD(1, 836) = 836 / 836

GCD(1, 836) = 1

GCD of 36, 760, 147, 836 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 75, 849, 208, 543
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• GCD of 60, 820, 535, 343

1. What is the GCD of 36, 760, 147, 836?

GCD of 36, 760, 147, 836 is 1

2. Where do I get the detailed procedure to find GCD of 36, 760, 147, 836?

You can find a detailed procedure to find GCD of 36, 760, 147, 836 on our page.

3. How to find GCD of 36, 760, 147, 836 on a calculator?

You can find the GCD of 36, 760, 147, 836 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.