GCD of 408, 612, 753, 357 Calculator

Given Input numbers are 408, 612, 753, 357

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

GCD of numbers is the greatest common divisor

So, the GCD (408, 612, 753, 357) = 3.

Given numbers are 408, 612, 753, 357

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 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 753 are 3 x 251

Prime factors of 357 are 3 x 7 x 17

The highest common occurrence is 3¹

Therefore, GCD of 408, 612, 753, 357 is 3.

Given numbers are 408, 612, 753, 357

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

Apply this formula for all numbers.

Step1:

LCM(408, 612) = 1224

GCD(408, 612) = ( 408 x 612 ) / 1224

= 408 / 612

= 408

Step2:

LCM(204, 753) = 51204

GCD(204, 753) = ( 204 x 753 ) / 51204

= 204 / 753

= 204

Step3:

LCM(3, 357) = 357

GCD(3, 357) = ( 3 x 357 ) / 357

= 3 / 357

= 3

So, Greatest Common Divisor of 408, 612, 753, 357 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 652, 203, 117, 423
• GCD of 523, 576, 699, 573
• GCD of 659, 844, 704, 740
• GCD of 329, 436, 609, 983
• GCD of 803, 265, 476, 909

Given numbers are 408, 612, 753, 357
The greatest common divisor of numbers 408, 612, 753, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 612, 753, 357 is 3.

1. What is the GCD of 408, 612, 753, 357?

GCD of given numbers 408, 612, 753, 357 is 3

2. How to calculate the greatest common divisor of 408, 612, 753, 357?

We can find the highest common divisor of 408, 612, 753, 357 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, 612, 753, 357 i.e 3.

3. How can I use the GCD of 408, 612, 753, 357Calculator?

Out the numbers 408, 612, 753, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.