GCD of 107, 852, 51, 364 Calculator

Given Input numbers are 107, 852, 51, 364

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 107, 852, 51, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 852, 51, 364 is 1.

Therefore, GCD of numbers 107, 852, 51, 364 is 1

Given Input Data is 107, 852, 51, 364

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

Prime Factorization of 107 is 107

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 51 is 3 x 17

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(107, 852) = 91164

GCD(107, 852) = ( 107 x 852 ) / 91164

GCD(107, 852) = 91164 / 91164

GCD(107, 852) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 107, 852, 51, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 266, 46, 143
• GCD of 234, 839, 85, 412
• GCD of 731, 100, 28, 445
• GCD of 700, 632, 74, 977
• GCD of 105, 402, 47, 953

1. What is the GCD of 107, 852, 51, 364?

GCD of 107, 852, 51, 364 is 1

2. Where do I get the detailed procedure to find GCD of 107, 852, 51, 364?

You can find a detailed procedure to find GCD of 107, 852, 51, 364 on our page.

3. How to find GCD of 107, 852, 51, 364 on a calculator?

You can find the GCD of 107, 852, 51, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.