GCD of 71, 321, 740, 965 Calculator

Given Input numbers are 71, 321, 740, 965

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

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 71, 321, 740, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 321, 740, 965 is 1.

Therefore, GCD of numbers 71, 321, 740, 965 is 1

Given Input Data is 71, 321, 740, 965

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

Prime Factorization of 71 is 71

Prime Factorization of 321 is 3 x 107

Prime Factorization of 740 is 2 x 2 x 5 x 37

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(71, 321) = 22791

GCD(71, 321) = ( 71 x 321 ) / 22791

GCD(71, 321) = 22791 / 22791

GCD(71, 321) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 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 71, 321, 740, 965 is 1

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1. What is the GCD of 71, 321, 740, 965?

GCD of 71, 321, 740, 965 is 1

2. Where do I get the detailed procedure to find GCD of 71, 321, 740, 965?

You can find a detailed procedure to find GCD of 71, 321, 740, 965 on our page.

3. How to find GCD of 71, 321, 740, 965 on a calculator?

You can find the GCD of 71, 321, 740, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.