GCD of 180, 872, 368, 708 Calculator

Given Input numbers are 180, 872, 368, 708

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 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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

GCD of numbers is the greatest common divisor

So, the GCD (180, 872, 368, 708) = 4.

Given numbers are 180, 872, 368, 708

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 872 are 2 x 2 x 2 x 109

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 708 are 2 x 2 x 3 x 59

The highest common occurrence is 2²

Therefore, GCD of 180, 872, 368, 708 is 4.

Given numbers are 180, 872, 368, 708

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

Apply this formula for all numbers.

Step1:

LCM(180, 872) = 39240

GCD(180, 872) = ( 180 x 872 ) / 39240

= 180 / 872

= 180

Step2:

LCM(4, 368) = 368

GCD(4, 368) = ( 4 x 368 ) / 368

= 4 / 368

= 4

Step3:

LCM(4, 708) = 708

GCD(4, 708) = ( 4 x 708 ) / 708

= 4 / 708

= 4

So, Greatest Common Divisor of 180, 872, 368, 708 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 459, 904, 487
• GCD of 631, 763, 332, 739
• GCD of 252, 890, 937, 855
• GCD of 732, 222, 385, 307
• GCD of 181, 514, 625, 680

Given numbers are 180, 872, 368, 708
The greatest common divisor of numbers 180, 872, 368, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 872, 368, 708 is 4.

1. What is the GCD of 180, 872, 368, 708?

GCD of given numbers 180, 872, 368, 708 is 4

2. How to calculate the greatest common divisor of 180, 872, 368, 708?

We can find the highest common divisor of 180, 872, 368, 708 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, 872, 368, 708 i.e 4.

3. How can I use the GCD of 180, 872, 368, 708Calculator?

Out the numbers 180, 872, 368, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.