GCD of 854, 650, 78, 201 Calculator

Given Input numbers are 854, 650, 78, 201

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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 854, 650, 78, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 650, 78, 201 is 1.

Therefore, GCD of numbers 854, 650, 78, 201 is 1

Given Input Data is 854, 650, 78, 201

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 78 is 2 x 3 x 13

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(854, 650) = 277550

GCD(854, 650) = ( 854 x 650 ) / 277550

GCD(854, 650) = 555100 / 277550

GCD(854, 650) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 201

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

LCM(2, 201) = 402

GCD(2, 201) = ( 2 x 201 ) / 402

GCD(2, 201) = 402 / 402

GCD(2, 201) = 1

GCD of 854, 650, 78, 201 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 458, 324, 10, 841
• GCD of 938, 295, 87, 890
• GCD of 614, 236, 75, 592
• GCD of 514, 640, 29, 633
• GCD of 415, 172, 39, 878

1. What is the GCD of 854, 650, 78, 201?

GCD of 854, 650, 78, 201 is 1

2. Where do I get the detailed procedure to find GCD of 854, 650, 78, 201?

You can find a detailed procedure to find GCD of 854, 650, 78, 201 on our page.

3. How to find GCD of 854, 650, 78, 201 on a calculator?

You can find the GCD of 854, 650, 78, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.