GCD of 364, 705, 236, 576 Calculator

Given Input numbers are 364, 705, 236, 576

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 705 :

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

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

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

GCD of numbers is the greatest common divisor

So, the GCD (364, 705, 236, 576) = 1.

Given numbers are 364, 705, 236, 576

The list of prime factors of all numbers are

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

Prime factors of 705 are 3 x 5 x 47

Prime factors of 236 are 2 x 2 x 59

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 364, 705, 236, 576

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

Apply this formula for all numbers.

Step1:

LCM(364, 705) = 256620

GCD(364, 705) = ( 364 x 705 ) / 256620

= 364 / 705

= 364

Step2:

LCM(1, 236) = 236

GCD(1, 236) = ( 1 x 236 ) / 236

= 1 / 236

= 1

Step3:

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

= 1 / 576

= 1

So, Greatest Common Divisor of 364, 705, 236, 576 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 478, 138, 706, 449
• GCD of 596, 771, 475, 105
• GCD of 527, 343, 558, 170
• GCD of 597, 736, 129, 195
• GCD of 692, 826, 940, 345

Given numbers are 364, 705, 236, 576
The greatest common divisor of numbers 364, 705, 236, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 705, 236, 576 is 1.

1. What is the GCD of 364, 705, 236, 576?

GCD of given numbers 364, 705, 236, 576 is 1

2. How to calculate the greatest common divisor of 364, 705, 236, 576?

We can find the highest common divisor of 364, 705, 236, 576 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, 705, 236, 576 i.e 1.

3. How can I use the GCD of 364, 705, 236, 576Calculator?

Out the numbers 364, 705, 236, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.