GCD of 738, 708, 84, 959 Calculator

Given Input numbers are 738, 708, 84, 959

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 738, 708, 84, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 708, 84, 959 is 1.

Therefore, GCD of numbers 738, 708, 84, 959 is 1

Given Input Data is 738, 708, 84, 959

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 708 is 2 x 2 x 3 x 59

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

Prime Factorization of 959 is 7 x 137

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(738, 708) = 87084

GCD(738, 708) = ( 738 x 708 ) / 87084

GCD(738, 708) = 522504 / 87084

GCD(738, 708) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 84

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

LCM(6, 84) = 84

GCD(6, 84) = ( 6 x 84 ) / 84

GCD(6, 84) = 504 / 84

GCD(6, 84) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 959

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

LCM(6, 959) = 5754

GCD(6, 959) = ( 6 x 959 ) / 5754

GCD(6, 959) = 5754 / 5754

GCD(6, 959) = 1

GCD of 738, 708, 84, 959 is 1

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1. What is the GCD of 738, 708, 84, 959?

GCD of 738, 708, 84, 959 is 1

2. Where do I get the detailed procedure to find GCD of 738, 708, 84, 959?

You can find a detailed procedure to find GCD of 738, 708, 84, 959 on our page.

3. How to find GCD of 738, 708, 84, 959 on a calculator?

You can find the GCD of 738, 708, 84, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.