GCD of 180, 748, 717, 258 Calculator

Given Input numbers are 180, 748, 717, 258

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 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

GCD of numbers is the greatest common divisor

So, the GCD (180, 748, 717, 258) = 1.

Given numbers are 180, 748, 717, 258

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 748 are 2 x 2 x 11 x 17

Prime factors of 717 are 3 x 239

Prime factors of 258 are 2 x 3 x 43

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

Given numbers are 180, 748, 717, 258

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

Apply this formula for all numbers.

Step1:

LCM(180, 748) = 33660

GCD(180, 748) = ( 180 x 748 ) / 33660

= 180 / 748

= 180

Step2:

LCM(4, 717) = 2868

GCD(4, 717) = ( 4 x 717 ) / 2868

= 4 / 717

= 4

Step3:

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

= 1 / 258

= 1

So, Greatest Common Divisor of 180, 748, 717, 258 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 855, 802, 410
• GCD of 893, 235, 471, 160
• GCD of 277, 534, 465, 948
• GCD of 704, 134, 875, 473
• GCD of 174, 295, 744, 192

Given numbers are 180, 748, 717, 258
The greatest common divisor of numbers 180, 748, 717, 258 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 748, 717, 258 is 1.

1. What is the GCD of 180, 748, 717, 258?

GCD of given numbers 180, 748, 717, 258 is 1

2. How to calculate the greatest common divisor of 180, 748, 717, 258?

We can find the highest common divisor of 180, 748, 717, 258 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, 748, 717, 258 i.e 1.

3. How can I use the GCD of 180, 748, 717, 258Calculator?

Out the numbers 180, 748, 717, 258 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.