GCD of 340, 644, 738, 408 Calculator

Given Input numbers are 340, 644, 738, 408

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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

GCD of numbers is the greatest common divisor

So, the GCD (340, 644, 738, 408) = 2.

Given numbers are 340, 644, 738, 408

The list of prime factors of all numbers are

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 738 are 2 x 3 x 3 x 41

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

The highest common occurrence is 2¹

Therefore, GCD of 340, 644, 738, 408 is 2.

Given numbers are 340, 644, 738, 408

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

Apply this formula for all numbers.

Step1:

LCM(340, 644) = 54740

GCD(340, 644) = ( 340 x 644 ) / 54740

= 340 / 644

= 340

Step2:

LCM(4, 738) = 1476

GCD(4, 738) = ( 4 x 738 ) / 1476

= 4 / 738

= 4

Step3:

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

= 2 / 408

= 2

So, Greatest Common Divisor of 340, 644, 738, 408 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 272, 218, 637, 451
• GCD of 589, 896, 734, 969
• GCD of 629, 258, 531, 504
• GCD of 852, 791, 855, 354
• GCD of 945, 430, 824, 150

Given numbers are 340, 644, 738, 408
The greatest common divisor of numbers 340, 644, 738, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 644, 738, 408 is 2.

1. What is the GCD of 340, 644, 738, 408?

GCD of given numbers 340, 644, 738, 408 is 2

2. How to calculate the greatest common divisor of 340, 644, 738, 408?

We can find the highest common divisor of 340, 644, 738, 408 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 340, 644, 738, 408 i.e 2.

3. How can I use the GCD of 340, 644, 738, 408Calculator?

Out the numbers 340, 644, 738, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.