GCD of 51, 357, 413, 766 Calculator

Given Input numbers are 51, 357, 413, 766

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

Divisors of 51

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

1, 3, 17, 51

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 51, 357, 413, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 357, 413, 766 is 1.

Therefore, GCD of numbers 51, 357, 413, 766 is 1

Given Input Data is 51, 357, 413, 766

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 413 is 7 x 59

Prime Factorization of 766 is 2 x 383

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(51, 357) = 357

GCD(51, 357) = ( 51 x 357 ) / 357

GCD(51, 357) = 18207 / 357

GCD(51, 357) = 51

Step2:

Here we consider the GCD from the above i.e. 51 as first number and the next as 413

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

LCM(51, 413) = 21063

GCD(51, 413) = ( 51 x 413 ) / 21063

GCD(51, 413) = 21063 / 21063

GCD(51, 413) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

GCD of 51, 357, 413, 766 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 725, 289, 400
• GCD of 35, 244, 300, 417
• GCD of 47, 121, 661, 116
• GCD of 82, 856, 593, 647
• GCD of 62, 218, 599, 870

1. What is the GCD of 51, 357, 413, 766?

GCD of 51, 357, 413, 766 is 1

2. Where do I get the detailed procedure to find GCD of 51, 357, 413, 766?

You can find a detailed procedure to find GCD of 51, 357, 413, 766 on our page.

3. How to find GCD of 51, 357, 413, 766 on a calculator?

You can find the GCD of 51, 357, 413, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.