GCD of 180, 708, 374, 219 Calculator

Given Input numbers are 180, 708, 374, 219

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 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 219 :

The positive integer divisors of 219 that completely divides 219 are.

1, 3, 73, 219

GCD of numbers is the greatest common divisor

So, the GCD (180, 708, 374, 219) = 1.

Given numbers are 180, 708, 374, 219

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 708 are 2 x 2 x 3 x 59

Prime factors of 374 are 2 x 11 x 17

Prime factors of 219 are 3 x 73

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

Given numbers are 180, 708, 374, 219

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

Apply this formula for all numbers.

Step1:

LCM(180, 708) = 10620

GCD(180, 708) = ( 180 x 708 ) / 10620

= 180 / 708

= 180

Step2:

LCM(12, 374) = 2244

GCD(12, 374) = ( 12 x 374 ) / 2244

= 12 / 374

= 12

Step3:

LCM(2, 219) = 438

GCD(2, 219) = ( 2 x 219 ) / 438

= 2 / 219

= 2

So, Greatest Common Divisor of 180, 708, 374, 219 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 517, 518, 800
• GCD of 546, 969, 580, 138
• GCD of 544, 887, 544, 807
• GCD of 441, 468, 548, 109
• GCD of 144, 751, 578, 440

Given numbers are 180, 708, 374, 219
The greatest common divisor of numbers 180, 708, 374, 219 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 708, 374, 219 is 1.

1. What is the GCD of 180, 708, 374, 219?

GCD of given numbers 180, 708, 374, 219 is 1

2. How to calculate the greatest common divisor of 180, 708, 374, 219?

We can find the highest common divisor of 180, 708, 374, 219 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, 708, 374, 219 i.e 1.

3. How can I use the GCD of 180, 708, 374, 219Calculator?

Out the numbers 180, 708, 374, 219 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.