GCD of 344, 708, 536, 406 Calculator

Given Input numbers are 344, 708, 536, 406

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

GCD of numbers is the greatest common divisor

So, the GCD (344, 708, 536, 406) = 2.

Given numbers are 344, 708, 536, 406

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 536 are 2 x 2 x 2 x 67

Prime factors of 406 are 2 x 7 x 29

The highest common occurrence is 2¹

Therefore, GCD of 344, 708, 536, 406 is 2.

Given numbers are 344, 708, 536, 406

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

Apply this formula for all numbers.

Step1:

LCM(344, 708) = 60888

GCD(344, 708) = ( 344 x 708 ) / 60888

= 344 / 708

= 344

Step2:

LCM(4, 536) = 536

GCD(4, 536) = ( 4 x 536 ) / 536

= 4 / 536

= 4

Step3:

LCM(4, 406) = 812

GCD(4, 406) = ( 4 x 406 ) / 812

= 4 / 406

= 4

So, Greatest Common Divisor of 344, 708, 536, 406 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 732, 371, 417, 834
• GCD of 396, 870, 902, 360
• GCD of 138, 819, 998, 508
• GCD of 944, 103, 990, 505
• GCD of 332, 432, 755, 436

Given numbers are 344, 708, 536, 406
The greatest common divisor of numbers 344, 708, 536, 406 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 708, 536, 406 is 2.

1. What is the GCD of 344, 708, 536, 406?

GCD of given numbers 344, 708, 536, 406 is 2

2. How to calculate the greatest common divisor of 344, 708, 536, 406?

We can find the highest common divisor of 344, 708, 536, 406 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 344, 708, 536, 406 i.e 2.

3. How can I use the GCD of 344, 708, 536, 406Calculator?

Out the numbers 344, 708, 536, 406 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.