GCD of 320, 764, 536, 654 Calculator

Given Input numbers are 320, 764, 536, 654

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 320, 764, 536, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 764, 536, 654 is 2.

Therefore, GCD of numbers 320, 764, 536, 654 is 2

Given Input Data is 320, 764, 536, 654

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 654 is 2 x 3 x 109

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(320, 764) = 61120

GCD(320, 764) = ( 320 x 764 ) / 61120

GCD(320, 764) = 244480 / 61120

GCD(320, 764) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 536

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

LCM(4, 536) = 536

GCD(4, 536) = ( 4 x 536 ) / 536

GCD(4, 536) = 2144 / 536

GCD(4, 536) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 654

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

LCM(4, 654) = 1308

GCD(4, 654) = ( 4 x 654 ) / 1308

GCD(4, 654) = 2616 / 1308

GCD(4, 654) = 2

GCD of 320, 764, 536, 654 is 2

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1. What is the GCD of 320, 764, 536, 654?

GCD of 320, 764, 536, 654 is 2

2. Where do I get the detailed procedure to find GCD of 320, 764, 536, 654?

You can find a detailed procedure to find GCD of 320, 764, 536, 654 on our page.

3. How to find GCD of 320, 764, 536, 654 on a calculator?

You can find the GCD of 320, 764, 536, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.