GCD of 596, 938, 64, 682 Calculator

Given Input numbers are 596, 938, 64, 682

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

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 596, 938, 64, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 938, 64, 682 is 2.

Therefore, GCD of numbers 596, 938, 64, 682 is 2

Given Input Data is 596, 938, 64, 682

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

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 682 is 2 x 11 x 31

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(596, 938) = 279524

GCD(596, 938) = ( 596 x 938 ) / 279524

GCD(596, 938) = 559048 / 279524

GCD(596, 938) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 682

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

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

GCD(2, 682) = 1364 / 682

GCD(2, 682) = 2

GCD of 596, 938, 64, 682 is 2

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1. What is the GCD of 596, 938, 64, 682?

GCD of 596, 938, 64, 682 is 2

2. Where do I get the detailed procedure to find GCD of 596, 938, 64, 682?

You can find a detailed procedure to find GCD of 596, 938, 64, 682 on our page.

3. How to find GCD of 596, 938, 64, 682 on a calculator?

You can find the GCD of 596, 938, 64, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.