GCD of 736, 959, 322, 688 Calculator

Given Input numbers are 736, 959, 322, 688

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 959

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

1, 7, 137, 959

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 736, 959, 322, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 959, 322, 688 is 1.

Therefore, GCD of numbers 736, 959, 322, 688 is 1

Given Input Data is 736, 959, 322, 688

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 959 is 7 x 137

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(736, 959) = 705824

GCD(736, 959) = ( 736 x 959 ) / 705824

GCD(736, 959) = 705824 / 705824

GCD(736, 959) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 736, 959, 322, 688 is 1

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1. What is the GCD of 736, 959, 322, 688?

GCD of 736, 959, 322, 688 is 1

2. Where do I get the detailed procedure to find GCD of 736, 959, 322, 688?

You can find a detailed procedure to find GCD of 736, 959, 322, 688 on our page.

3. How to find GCD of 736, 959, 322, 688 on a calculator?

You can find the GCD of 736, 959, 322, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.