GCD of 965, 416, 852, 296 Calculator

Given Input numbers are 965, 416, 852, 296

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

Divisors of 965

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

1, 5, 193, 965

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 965, 416, 852, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 416, 852, 296 is 1.

Therefore, GCD of numbers 965, 416, 852, 296 is 1

Given Input Data is 965, 416, 852, 296

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

Prime Factorization of 965 is 5 x 193

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(965, 416) = 401440

GCD(965, 416) = ( 965 x 416 ) / 401440

GCD(965, 416) = 401440 / 401440

GCD(965, 416) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 965, 416, 852, 296 is 1

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1. What is the GCD of 965, 416, 852, 296?

GCD of 965, 416, 852, 296 is 1

2. Where do I get the detailed procedure to find GCD of 965, 416, 852, 296?

You can find a detailed procedure to find GCD of 965, 416, 852, 296 on our page.

3. How to find GCD of 965, 416, 852, 296 on a calculator?

You can find the GCD of 965, 416, 852, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.