GCD of 865, 828, 45, 962 Calculator

Given Input numbers are 865, 828, 45, 962

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

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Greatest Common Divisior

We found the divisors of 865, 828, 45, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 865, 828, 45, 962 is 1.

Therefore, GCD of numbers 865, 828, 45, 962 is 1

Given Input Data is 865, 828, 45, 962

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

Prime Factorization of 865 is 5 x 173

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 962 is 2 x 13 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(865, 828) = 716220

GCD(865, 828) = ( 865 x 828 ) / 716220

GCD(865, 828) = 716220 / 716220

GCD(865, 828) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 962

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

LCM(1, 962) = 962

GCD(1, 962) = ( 1 x 962 ) / 962

GCD(1, 962) = 962 / 962

GCD(1, 962) = 1

GCD of 865, 828, 45, 962 is 1

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1. What is the GCD of 865, 828, 45, 962?

GCD of 865, 828, 45, 962 is 1

2. Where do I get the detailed procedure to find GCD of 865, 828, 45, 962?

You can find a detailed procedure to find GCD of 865, 828, 45, 962 on our page.

3. How to find GCD of 865, 828, 45, 962 on a calculator?

You can find the GCD of 865, 828, 45, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.