GCD of 514, 520, 551, 360 Calculator

Given Input numbers are 514, 520, 551, 360

In the factoring method, we have to find the divisors of all numbers

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 551 :

The positive integer divisors of 551 that completely divides 551 are.

1, 19, 29, 551

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (514, 520, 551, 360) = 1.

Given numbers are 514, 520, 551, 360

The list of prime factors of all numbers are

Prime factors of 514 are 2 x 257

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 551 are 19 x 29

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 514, 520, 551, 360

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(514, 520) = 133640

GCD(514, 520) = ( 514 x 520 ) / 133640

= 514 / 520

= 514

Step2:

LCM(2, 551) = 1102

GCD(2, 551) = ( 2 x 551 ) / 1102

= 2 / 551

= 2

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 514, 520, 551, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 126, 695, 806, 474
• GCD of 306, 467, 202, 354
• GCD of 419, 662, 207, 696
• GCD of 825, 173, 144, 687
• GCD of 616, 691, 964, 244

Given numbers are 514, 520, 551, 360
The greatest common divisor of numbers 514, 520, 551, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 514, 520, 551, 360 is 1.

1. What is the GCD of 514, 520, 551, 360?

GCD of given numbers 514, 520, 551, 360 is 1

2. How to calculate the greatest common divisor of 514, 520, 551, 360?

We can find the highest common divisor of 514, 520, 551, 360 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 514, 520, 551, 360 i.e 1.

3. How can I use the GCD of 514, 520, 551, 360Calculator?

Out the numbers 514, 520, 551, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.