GCD of 675, 920, 950, 201 Calculator

Given Input numbers are 675, 920, 950, 201

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

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 675, 920, 950, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 920, 950, 201 is 1.

Therefore, GCD of numbers 675, 920, 950, 201 is 1

Given Input Data is 675, 920, 950, 201

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 201 is 3 x 67

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(675, 920) = 124200

GCD(675, 920) = ( 675 x 920 ) / 124200

GCD(675, 920) = 621000 / 124200

GCD(675, 920) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 950

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

LCM(5, 950) = 950

GCD(5, 950) = ( 5 x 950 ) / 950

GCD(5, 950) = 4750 / 950

GCD(5, 950) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 201

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

LCM(5, 201) = 1005

GCD(5, 201) = ( 5 x 201 ) / 1005

GCD(5, 201) = 1005 / 1005

GCD(5, 201) = 1

GCD of 675, 920, 950, 201 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 318, 329, 921, 403
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• GCD of 961, 530, 452, 644

1. What is the GCD of 675, 920, 950, 201?

GCD of 675, 920, 950, 201 is 1

2. Where do I get the detailed procedure to find GCD of 675, 920, 950, 201?

You can find a detailed procedure to find GCD of 675, 920, 950, 201 on our page.

3. How to find GCD of 675, 920, 950, 201 on a calculator?

You can find the GCD of 675, 920, 950, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.