GCD of 180, 676, 17, 615 Calculator

Given Input numbers are 180, 676, 17, 615

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 17 :

The positive integer divisors of 17 that completely divides 17 are.

1, 17

Divisors of 615 :

The positive integer divisors of 615 that completely divides 615 are.

1, 3, 5, 15, 41, 123, 205, 615

GCD of numbers is the greatest common divisor

So, the GCD (180, 676, 17, 615) = 1.

Given numbers are 180, 676, 17, 615

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 17 are 17

Prime factors of 615 are 3 x 5 x 41

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

Given numbers are 180, 676, 17, 615

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

Apply this formula for all numbers.

Step1:

LCM(180, 676) = 30420

GCD(180, 676) = ( 180 x 676 ) / 30420

= 180 / 676

= 180

Step2:

LCM(4, 17) = 68

GCD(4, 17) = ( 4 x 17 ) / 68

= 4 / 17

= 4

Step3:

LCM(1, 615) = 615

GCD(1, 615) = ( 1 x 615 ) / 615

= 1 / 615

= 1

So, Greatest Common Divisor of 180, 676, 17, 615 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 458, 68, 493
• GCD of 371, 832, 88, 493
• GCD of 871, 288, 31, 689
• GCD of 555, 543, 25, 433
• GCD of 837, 154, 64, 331

Given numbers are 180, 676, 17, 615
The greatest common divisor of numbers 180, 676, 17, 615 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 676, 17, 615 is 1.

1. What is the GCD of 180, 676, 17, 615?

GCD of given numbers 180, 676, 17, 615 is 1

2. How to calculate the greatest common divisor of 180, 676, 17, 615?

We can find the highest common divisor of 180, 676, 17, 615 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 180, 676, 17, 615 i.e 1.

3. How can I use the GCD of 180, 676, 17, 615Calculator?

Out the numbers 180, 676, 17, 615 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.