GCD of 327, 700, 537, 920 Calculator

Given Input numbers are 327, 700, 537, 920

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

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 327, 700, 537, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 700, 537, 920 is 1.

Therefore, GCD of numbers 327, 700, 537, 920 is 1

Given Input Data is 327, 700, 537, 920

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

Prime Factorization of 327 is 3 x 109

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 537 is 3 x 179

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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(327, 700) = 228900

GCD(327, 700) = ( 327 x 700 ) / 228900

GCD(327, 700) = 228900 / 228900

GCD(327, 700) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 537

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

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

GCD(1, 537) = 537 / 537

GCD(1, 537) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 327, 700, 537, 920 is 1

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1. What is the GCD of 327, 700, 537, 920?

GCD of 327, 700, 537, 920 is 1

2. Where do I get the detailed procedure to find GCD of 327, 700, 537, 920?

You can find a detailed procedure to find GCD of 327, 700, 537, 920 on our page.

3. How to find GCD of 327, 700, 537, 920 on a calculator?

You can find the GCD of 327, 700, 537, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.