GCD of 851, 964, 78, 414 Calculator

Given Input numbers are 851, 964, 78, 414

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

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

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 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 851, 964, 78, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 851, 964, 78, 414 is 1.

Therefore, GCD of numbers 851, 964, 78, 414 is 1

Given Input Data is 851, 964, 78, 414

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

Prime Factorization of 851 is 23 x 37

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 414 is 2 x 3 x 3 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(851, 964) = 820364

GCD(851, 964) = ( 851 x 964 ) / 820364

GCD(851, 964) = 820364 / 820364

GCD(851, 964) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 851, 964, 78, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 413, 35, 995
• GCD of 477, 459, 89, 664
• GCD of 883, 910, 29, 580
• GCD of 717, 364, 21, 329
• GCD of 621, 420, 13, 192

1. What is the GCD of 851, 964, 78, 414?

GCD of 851, 964, 78, 414 is 1

2. Where do I get the detailed procedure to find GCD of 851, 964, 78, 414?

You can find a detailed procedure to find GCD of 851, 964, 78, 414 on our page.

3. How to find GCD of 851, 964, 78, 414 on a calculator?

You can find the GCD of 851, 964, 78, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.