GCD of 557, 680, 51, 526 Calculator

Given Input numbers are 557, 680, 51, 526

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

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 51

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

1, 3, 17, 51

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Greatest Common Divisior

We found the divisors of 557, 680, 51, 526 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 680, 51, 526 is 1.

Therefore, GCD of numbers 557, 680, 51, 526 is 1

Given Input Data is 557, 680, 51, 526

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

Prime Factorization of 557 is 557

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 51 is 3 x 17

Prime Factorization of 526 is 2 x 263

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(557, 680) = 378760

GCD(557, 680) = ( 557 x 680 ) / 378760

GCD(557, 680) = 378760 / 378760

GCD(557, 680) = 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 526

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

LCM(1, 526) = 526

GCD(1, 526) = ( 1 x 526 ) / 526

GCD(1, 526) = 526 / 526

GCD(1, 526) = 1

GCD of 557, 680, 51, 526 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 218, 736, 23, 761
• GCD of 864, 624, 80, 296
• GCD of 390, 275, 37, 403
• GCD of 469, 120, 43, 294
• GCD of 878, 190, 76, 699

1. What is the GCD of 557, 680, 51, 526?

GCD of 557, 680, 51, 526 is 1

2. Where do I get the detailed procedure to find GCD of 557, 680, 51, 526?

You can find a detailed procedure to find GCD of 557, 680, 51, 526 on our page.

3. How to find GCD of 557, 680, 51, 526 on a calculator?

You can find the GCD of 557, 680, 51, 526 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.