GCD of 517, 360, 100, 675 Calculator

Given Input numbers are 517, 360, 100, 675

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

Divisors of 517 :

The positive integer divisors of 517 that completely divides 517 are.

1, 11, 47, 517

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

GCD of numbers is the greatest common divisor

So, the GCD (517, 360, 100, 675) = 1.

Given numbers are 517, 360, 100, 675

The list of prime factors of all numbers are

Prime factors of 517 are 11 x 47

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

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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

Given numbers are 517, 360, 100, 675

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

Apply this formula for all numbers.

Step1:

LCM(517, 360) = 186120

GCD(517, 360) = ( 517 x 360 ) / 186120

= 517 / 360

= 517

Step2:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

Step3:

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

= 1 / 675

= 1

So, Greatest Common Divisor of 517, 360, 100, 675 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 726, 105, 275, 246
• GCD of 341, 304, 418, 369
• GCD of 911, 749, 472, 182
• GCD of 459, 145, 275, 636
• GCD of 697, 486, 133, 988

Given numbers are 517, 360, 100, 675
The greatest common divisor of numbers 517, 360, 100, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 517, 360, 100, 675 is 1.

1. What is the GCD of 517, 360, 100, 675?

GCD of given numbers 517, 360, 100, 675 is 1

2. How to calculate the greatest common divisor of 517, 360, 100, 675?

We can find the highest common divisor of 517, 360, 100, 675 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 517, 360, 100, 675 i.e 1.

3. How can I use the GCD of 517, 360, 100, 675Calculator?

Out the numbers 517, 360, 100, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.