GCD of 682, 422, 470, 180 Calculator

Given Input numbers are 682, 422, 470, 180

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

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

GCD of numbers is the greatest common divisor

So, the GCD (682, 422, 470, 180) = 2.

Given numbers are 682, 422, 470, 180

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 422 are 2 x 211

Prime factors of 470 are 2 x 5 x 47

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

The highest common occurrence is 2¹

Therefore, GCD of 682, 422, 470, 180 is 2.

Given numbers are 682, 422, 470, 180

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

Apply this formula for all numbers.

Step1:

LCM(682, 422) = 143902

GCD(682, 422) = ( 682 x 422 ) / 143902

= 682 / 422

= 682

Step2:

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

= 2 / 470

= 2

Step3:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

So, Greatest Common Divisor of 682, 422, 470, 180 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 241, 168, 884
• GCD of 361, 914, 674, 875
• GCD of 816, 264, 129, 528
• GCD of 656, 983, 613, 151
• GCD of 192, 891, 479, 559

Given numbers are 682, 422, 470, 180
The greatest common divisor of numbers 682, 422, 470, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 422, 470, 180 is 2.

1. What is the GCD of 682, 422, 470, 180?

GCD of given numbers 682, 422, 470, 180 is 2

2. How to calculate the greatest common divisor of 682, 422, 470, 180?

We can find the highest common divisor of 682, 422, 470, 180 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 682, 422, 470, 180 i.e 2.

3. How can I use the GCD of 682, 422, 470, 180Calculator?

Out the numbers 682, 422, 470, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.