GCD of 916, 731, 84, 965 Calculator

Given Input numbers are 916, 731, 84, 965

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 916, 731, 84, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 731, 84, 965 is 1.

Therefore, GCD of numbers 916, 731, 84, 965 is 1

Given Input Data is 916, 731, 84, 965

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 731 is 17 x 43

Prime Factorization of 84 is 2 x 2 x 3 x 7

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(916, 731) = 669596

GCD(916, 731) = ( 916 x 731 ) / 669596

GCD(916, 731) = 669596 / 669596

GCD(916, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 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 916, 731, 84, 965 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 236, 46, 898
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• GCD of 978, 130, 21, 159
• GCD of 142, 187, 83, 781
• GCD of 194, 756, 13, 952

1. What is the GCD of 916, 731, 84, 965?

GCD of 916, 731, 84, 965 is 1

2. Where do I get the detailed procedure to find GCD of 916, 731, 84, 965?

You can find a detailed procedure to find GCD of 916, 731, 84, 965 on our page.

3. How to find GCD of 916, 731, 84, 965 on a calculator?

You can find the GCD of 916, 731, 84, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.