GCD of 185, 708, 22, 769 Calculator

Given Input numbers are 185, 708, 22, 769

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

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 185, 708, 22, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 185, 708, 22, 769 is 1.

Therefore, GCD of numbers 185, 708, 22, 769 is 1

Given Input Data is 185, 708, 22, 769

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

Prime Factorization of 185 is 5 x 37

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 22 is 2 x 11

Prime Factorization of 769 is 769

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(185, 708) = 130980

GCD(185, 708) = ( 185 x 708 ) / 130980

GCD(185, 708) = 130980 / 130980

GCD(185, 708) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 769

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

LCM(1, 769) = 769

GCD(1, 769) = ( 1 x 769 ) / 769

GCD(1, 769) = 769 / 769

GCD(1, 769) = 1

GCD of 185, 708, 22, 769 is 1

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1. What is the GCD of 185, 708, 22, 769?

GCD of 185, 708, 22, 769 is 1

2. Where do I get the detailed procedure to find GCD of 185, 708, 22, 769?

You can find a detailed procedure to find GCD of 185, 708, 22, 769 on our page.

3. How to find GCD of 185, 708, 22, 769 on a calculator?

You can find the GCD of 185, 708, 22, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.