GCD of 405, 438, 291, 153 Calculator

Given Input numbers are 405, 438, 291, 153

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

Divisors of 405 :

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

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

GCD of numbers is the greatest common divisor

So, the GCD (405, 438, 291, 153) = 3.

Given numbers are 405, 438, 291, 153

The list of prime factors of all numbers are

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

Prime factors of 438 are 2 x 3 x 73

Prime factors of 291 are 3 x 97

Prime factors of 153 are 3 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 405, 438, 291, 153 is 3.

Given numbers are 405, 438, 291, 153

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

Apply this formula for all numbers.

Step1:

LCM(405, 438) = 59130

GCD(405, 438) = ( 405 x 438 ) / 59130

= 405 / 438

= 405

Step2:

LCM(3, 291) = 291

GCD(3, 291) = ( 3 x 291 ) / 291

= 3 / 291

= 3

Step3:

LCM(3, 153) = 153

GCD(3, 153) = ( 3 x 153 ) / 153

= 3 / 153

= 3

So, Greatest Common Divisor of 405, 438, 291, 153 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 524, 199, 566, 305
• GCD of 919, 249, 711, 662
• GCD of 829, 161, 432, 589
• GCD of 627, 852, 391, 584
• GCD of 620, 298, 181, 867

Given numbers are 405, 438, 291, 153
The greatest common divisor of numbers 405, 438, 291, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 405, 438, 291, 153 is 3.

1. What is the GCD of 405, 438, 291, 153?

GCD of given numbers 405, 438, 291, 153 is 3

2. How to calculate the greatest common divisor of 405, 438, 291, 153?

We can find the highest common divisor of 405, 438, 291, 153 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 405, 438, 291, 153 i.e 3.

3. How can I use the GCD of 405, 438, 291, 153Calculator?

Out the numbers 405, 438, 291, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.