GCD of 168, 702, 180, 405 Calculator

Given Input numbers are 168, 702, 180, 405

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

GCD of numbers is the greatest common divisor

So, the GCD (168, 702, 180, 405) = 3.

Given numbers are 168, 702, 180, 405

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

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

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 168, 702, 180, 405 is 3.

Given numbers are 168, 702, 180, 405

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

Apply this formula for all numbers.

Step1:

LCM(168, 702) = 19656

GCD(168, 702) = ( 168 x 702 ) / 19656

= 168 / 702

= 168

Step2:

LCM(6, 180) = 180

GCD(6, 180) = ( 6 x 180 ) / 180

= 6 / 180

= 6

Step3:

LCM(6, 405) = 810

GCD(6, 405) = ( 6 x 405 ) / 810

= 6 / 405

= 6

So, Greatest Common Divisor of 168, 702, 180, 405 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 436, 478, 863, 983
• GCD of 724, 139, 454, 508
• GCD of 892, 629, 627, 321
• GCD of 528, 307, 340, 391
• GCD of 566, 292, 753, 360

Given numbers are 168, 702, 180, 405
The greatest common divisor of numbers 168, 702, 180, 405 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 702, 180, 405 is 3.

1. What is the GCD of 168, 702, 180, 405?

GCD of given numbers 168, 702, 180, 405 is 3

2. How to calculate the greatest common divisor of 168, 702, 180, 405?

We can find the highest common divisor of 168, 702, 180, 405 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 168, 702, 180, 405 i.e 3.

3. How can I use the GCD of 168, 702, 180, 405Calculator?

Out the numbers 168, 702, 180, 405 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.