GCD of 408, 345, 261, 156 Calculator

Given Input numbers are 408, 345, 261, 156

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

GCD of numbers is the greatest common divisor

So, the GCD (408, 345, 261, 156) = 3.

Given numbers are 408, 345, 261, 156

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 345 are 3 x 5 x 23

Prime factors of 261 are 3 x 3 x 29

Prime factors of 156 are 2 x 2 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 408, 345, 261, 156 is 3.

Given numbers are 408, 345, 261, 156

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

Apply this formula for all numbers.

Step1:

LCM(408, 345) = 46920

GCD(408, 345) = ( 408 x 345 ) / 46920

= 408 / 345

= 408

Step2:

LCM(3, 261) = 261

GCD(3, 261) = ( 3 x 261 ) / 261

= 3 / 261

= 3

Step3:

LCM(3, 156) = 156

GCD(3, 156) = ( 3 x 156 ) / 156

= 3 / 156

= 3

So, Greatest Common Divisor of 408, 345, 261, 156 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 429, 746, 596
• GCD of 297, 224, 345, 534
• GCD of 915, 508, 248, 301
• GCD of 191, 381, 343, 825
• GCD of 378, 346, 515, 464

Given numbers are 408, 345, 261, 156
The greatest common divisor of numbers 408, 345, 261, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 345, 261, 156 is 3.

1. What is the GCD of 408, 345, 261, 156?

GCD of given numbers 408, 345, 261, 156 is 3

2. How to calculate the greatest common divisor of 408, 345, 261, 156?

We can find the highest common divisor of 408, 345, 261, 156 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 408, 345, 261, 156 i.e 3.

3. How can I use the GCD of 408, 345, 261, 156Calculator?

Out the numbers 408, 345, 261, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.