GCD of 408, 918, 285, 348 Calculator

Given Input numbers are 408, 918, 285, 348

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 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (408, 918, 285, 348) = 3.

Given numbers are 408, 918, 285, 348

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 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 285 are 3 x 5 x 19

Prime factors of 348 are 2 x 2 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 408, 918, 285, 348 is 3.

Given numbers are 408, 918, 285, 348

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

Apply this formula for all numbers.

Step1:

LCM(408, 918) = 3672

GCD(408, 918) = ( 408 x 918 ) / 3672

= 408 / 918

= 408

Step2:

LCM(102, 285) = 9690

GCD(102, 285) = ( 102 x 285 ) / 9690

= 102 / 285

= 102

Step3:

LCM(3, 348) = 348

GCD(3, 348) = ( 3 x 348 ) / 348

= 3 / 348

= 3

So, Greatest Common Divisor of 408, 918, 285, 348 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 441, 905, 851, 618
• GCD of 828, 144, 711, 680
• GCD of 121, 772, 657, 400
• GCD of 867, 670, 909, 834
• GCD of 775, 246, 763, 422

Given numbers are 408, 918, 285, 348
The greatest common divisor of numbers 408, 918, 285, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 918, 285, 348 is 3.

1. What is the GCD of 408, 918, 285, 348?

GCD of given numbers 408, 918, 285, 348 is 3

2. How to calculate the greatest common divisor of 408, 918, 285, 348?

We can find the highest common divisor of 408, 918, 285, 348 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, 918, 285, 348 i.e 3.

3. How can I use the GCD of 408, 918, 285, 348Calculator?

Out the numbers 408, 918, 285, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.