GCD of 364, 656, 705, 372 Calculator

Given Input numbers are 364, 656, 705, 372

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

GCD of numbers is the greatest common divisor

So, the GCD (364, 656, 705, 372) = 1.

Given numbers are 364, 656, 705, 372

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 705 are 3 x 5 x 47

Prime factors of 372 are 2 x 2 x 3 x 31

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 364, 656, 705, 372

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

Apply this formula for all numbers.

Step1:

LCM(364, 656) = 59696

GCD(364, 656) = ( 364 x 656 ) / 59696

= 364 / 656

= 364

Step2:

LCM(4, 705) = 2820

GCD(4, 705) = ( 4 x 705 ) / 2820

= 4 / 705

= 4

Step3:

LCM(1, 372) = 372

GCD(1, 372) = ( 1 x 372 ) / 372

= 1 / 372

= 1

So, Greatest Common Divisor of 364, 656, 705, 372 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 878, 515, 536, 361
• GCD of 977, 612, 577, 640
• GCD of 198, 384, 793, 325
• GCD of 647, 438, 568, 513
• GCD of 301, 117, 541, 270

Given numbers are 364, 656, 705, 372
The greatest common divisor of numbers 364, 656, 705, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 656, 705, 372 is 1.

1. What is the GCD of 364, 656, 705, 372?

GCD of given numbers 364, 656, 705, 372 is 1

2. How to calculate the greatest common divisor of 364, 656, 705, 372?

We can find the highest common divisor of 364, 656, 705, 372 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 364, 656, 705, 372 i.e 1.

3. How can I use the GCD of 364, 656, 705, 372Calculator?

Out the numbers 364, 656, 705, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.