GCD of 180, 170, 870, 588 Calculator

Given Input numbers are 180, 170, 870, 588

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 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

GCD of numbers is the greatest common divisor

So, the GCD (180, 170, 870, 588) = 2.

Given numbers are 180, 170, 870, 588

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 170 are 2 x 5 x 17

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 180, 170, 870, 588 is 2.

Given numbers are 180, 170, 870, 588

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

Apply this formula for all numbers.

Step1:

LCM(180, 170) = 3060

GCD(180, 170) = ( 180 x 170 ) / 3060

= 180 / 170

= 180

Step2:

LCM(10, 870) = 870

GCD(10, 870) = ( 10 x 870 ) / 870

= 10 / 870

= 10

Step3:

LCM(10, 588) = 2940

GCD(10, 588) = ( 10 x 588 ) / 2940

= 10 / 588

= 10

So, Greatest Common Divisor of 180, 170, 870, 588 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 293, 375, 812
• GCD of 391, 238, 834, 654
• GCD of 259, 909, 103, 569
• GCD of 153, 375, 812, 801
• GCD of 560, 992, 555, 808

Given numbers are 180, 170, 870, 588
The greatest common divisor of numbers 180, 170, 870, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 170, 870, 588 is 2.

1. What is the GCD of 180, 170, 870, 588?

GCD of given numbers 180, 170, 870, 588 is 2

2. How to calculate the greatest common divisor of 180, 170, 870, 588?

We can find the highest common divisor of 180, 170, 870, 588 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, 170, 870, 588 i.e 2.

3. How can I use the GCD of 180, 170, 870, 588Calculator?

Out the numbers 180, 170, 870, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.