GCD of 396, 268, 210, 759 Calculator

Given Input numbers are 396, 268, 210, 759

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 396, 268, 210, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 268, 210, 759 is 1.

Therefore, GCD of numbers 396, 268, 210, 759 is 1

Given Input Data is 396, 268, 210, 759

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 759 is 3 x 11 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(396, 268) = 26532

GCD(396, 268) = ( 396 x 268 ) / 26532

GCD(396, 268) = 106128 / 26532

GCD(396, 268) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 210

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

LCM(4, 210) = 420

GCD(4, 210) = ( 4 x 210 ) / 420

GCD(4, 210) = 840 / 420

GCD(4, 210) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 759

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

LCM(2, 759) = 1518

GCD(2, 759) = ( 2 x 759 ) / 1518

GCD(2, 759) = 1518 / 1518

GCD(2, 759) = 1

GCD of 396, 268, 210, 759 is 1

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1. What is the GCD of 396, 268, 210, 759?

GCD of 396, 268, 210, 759 is 1

2. Where do I get the detailed procedure to find GCD of 396, 268, 210, 759?

You can find a detailed procedure to find GCD of 396, 268, 210, 759 on our page.

3. How to find GCD of 396, 268, 210, 759 on a calculator?

You can find the GCD of 396, 268, 210, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.