GCD of 964, 142, 73, 714 Calculator

Given Input numbers are 964, 142, 73, 714

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

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 964, 142, 73, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 142, 73, 714 is 1.

Therefore, GCD of numbers 964, 142, 73, 714 is 1

Given Input Data is 964, 142, 73, 714

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

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 142 is 2 x 71

Prime Factorization of 73 is 73

Prime Factorization of 714 is 2 x 3 x 7 x 17

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(964, 142) = 68444

GCD(964, 142) = ( 964 x 142 ) / 68444

GCD(964, 142) = 136888 / 68444

GCD(964, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 73

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

LCM(2, 73) = 146

GCD(2, 73) = ( 2 x 73 ) / 146

GCD(2, 73) = 146 / 146

GCD(2, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 964, 142, 73, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 568, 60, 271
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• GCD of 476, 493, 41, 864
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1. What is the GCD of 964, 142, 73, 714?

GCD of 964, 142, 73, 714 is 1

2. Where do I get the detailed procedure to find GCD of 964, 142, 73, 714?

You can find a detailed procedure to find GCD of 964, 142, 73, 714 on our page.

3. How to find GCD of 964, 142, 73, 714 on a calculator?

You can find the GCD of 964, 142, 73, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.