GCD of 122, 320, 765, 158 Calculator

Given Input numbers are 122, 320, 765, 158

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

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 122, 320, 765, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 320, 765, 158 is 1.

Therefore, GCD of numbers 122, 320, 765, 158 is 1

Given Input Data is 122, 320, 765, 158

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

Prime Factorization of 122 is 2 x 61

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 158 is 2 x 79

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(122, 320) = 19520

GCD(122, 320) = ( 122 x 320 ) / 19520

GCD(122, 320) = 39040 / 19520

GCD(122, 320) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 765

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

LCM(2, 765) = 1530

GCD(2, 765) = ( 2 x 765 ) / 1530

GCD(2, 765) = 1530 / 1530

GCD(2, 765) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 158

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

LCM(1, 158) = 158

GCD(1, 158) = ( 1 x 158 ) / 158

GCD(1, 158) = 158 / 158

GCD(1, 158) = 1

GCD of 122, 320, 765, 158 is 1

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1. What is the GCD of 122, 320, 765, 158?

GCD of 122, 320, 765, 158 is 1

2. Where do I get the detailed procedure to find GCD of 122, 320, 765, 158?

You can find a detailed procedure to find GCD of 122, 320, 765, 158 on our page.

3. How to find GCD of 122, 320, 765, 158 on a calculator?

You can find the GCD of 122, 320, 765, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.