GCD of 401, 992, 69, 965 Calculator

Given Input numbers are 401, 992, 69, 965

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

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Greatest Common Divisior

We found the divisors of 401, 992, 69, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 992, 69, 965 is 1.

Therefore, GCD of numbers 401, 992, 69, 965 is 1

Given Input Data is 401, 992, 69, 965

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

Prime Factorization of 401 is 401

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 69 is 3 x 23

Prime Factorization of 965 is 5 x 193

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(401, 992) = 397792

GCD(401, 992) = ( 401 x 992 ) / 397792

GCD(401, 992) = 397792 / 397792

GCD(401, 992) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 965

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

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

GCD(1, 965) = 965 / 965

GCD(1, 965) = 1

GCD of 401, 992, 69, 965 is 1

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1. What is the GCD of 401, 992, 69, 965?

GCD of 401, 992, 69, 965 is 1

2. Where do I get the detailed procedure to find GCD of 401, 992, 69, 965?

You can find a detailed procedure to find GCD of 401, 992, 69, 965 on our page.

3. How to find GCD of 401, 992, 69, 965 on a calculator?

You can find the GCD of 401, 992, 69, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.