GCD of 746, 365, 956, 122 Calculator

Given Input numbers are 746, 365, 956, 122

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

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 122

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

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 746, 365, 956, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 365, 956, 122 is 1.

Therefore, GCD of numbers 746, 365, 956, 122 is 1

Given Input Data is 746, 365, 956, 122

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 365 is 5 x 73

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 122 is 2 x 61

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(746, 365) = 272290

GCD(746, 365) = ( 746 x 365 ) / 272290

GCD(746, 365) = 272290 / 272290

GCD(746, 365) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

GCD of 746, 365, 956, 122 is 1

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1. What is the GCD of 746, 365, 956, 122?

GCD of 746, 365, 956, 122 is 1

2. Where do I get the detailed procedure to find GCD of 746, 365, 956, 122?

You can find a detailed procedure to find GCD of 746, 365, 956, 122 on our page.

3. How to find GCD of 746, 365, 956, 122 on a calculator?

You can find the GCD of 746, 365, 956, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.