GCD of 786, 438, 360, 201 Calculator

Given Input numbers are 786, 438, 360, 201

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

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Greatest Common Divisior

We found the divisors of 786, 438, 360, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 438, 360, 201 is 3.

Therefore, GCD of numbers 786, 438, 360, 201 is 3

Given Input Data is 786, 438, 360, 201

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

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 201 is 3 x 67

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(786, 438) = 57378

GCD(786, 438) = ( 786 x 438 ) / 57378

GCD(786, 438) = 344268 / 57378

GCD(786, 438) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 360

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

LCM(6, 360) = 360

GCD(6, 360) = ( 6 x 360 ) / 360

GCD(6, 360) = 2160 / 360

GCD(6, 360) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 201

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

LCM(6, 201) = 402

GCD(6, 201) = ( 6 x 201 ) / 402

GCD(6, 201) = 1206 / 402

GCD(6, 201) = 3

GCD of 786, 438, 360, 201 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 192, 868, 434
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• GCD of 713, 942, 829, 178

1. What is the GCD of 786, 438, 360, 201?

GCD of 786, 438, 360, 201 is 3

2. Where do I get the detailed procedure to find GCD of 786, 438, 360, 201?

You can find a detailed procedure to find GCD of 786, 438, 360, 201 on our page.

3. How to find GCD of 786, 438, 360, 201 on a calculator?

You can find the GCD of 786, 438, 360, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.