GCD of 159, 774, 61, 919 Calculator

Given Input numbers are 159, 774, 61, 919

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

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Greatest Common Divisior

We found the divisors of 159, 774, 61, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 774, 61, 919 is 1.

Therefore, GCD of numbers 159, 774, 61, 919 is 1

Given Input Data is 159, 774, 61, 919

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 61 is 61

Prime Factorization of 919 is 919

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(159, 774) = 41022

GCD(159, 774) = ( 159 x 774 ) / 41022

GCD(159, 774) = 123066 / 41022

GCD(159, 774) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 61

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

LCM(3, 61) = 183

GCD(3, 61) = ( 3 x 61 ) / 183

GCD(3, 61) = 183 / 183

GCD(3, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 919

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

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

GCD(1, 919) = 919 / 919

GCD(1, 919) = 1

GCD of 159, 774, 61, 919 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 647, 87, 897
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• GCD of 605, 304, 46, 832

1. What is the GCD of 159, 774, 61, 919?

GCD of 159, 774, 61, 919 is 1

2. Where do I get the detailed procedure to find GCD of 159, 774, 61, 919?

You can find a detailed procedure to find GCD of 159, 774, 61, 919 on our page.

3. How to find GCD of 159, 774, 61, 919 on a calculator?

You can find the GCD of 159, 774, 61, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.