GCD of 364, 590, 910, 315 Calculator

Given Input numbers are 364, 590, 910, 315

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 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 910 :

The positive integer divisors of 910 that completely divides 910 are.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (364, 590, 910, 315) = 1.

Given numbers are 364, 590, 910, 315

The list of prime factors of all numbers are

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

Prime factors of 590 are 2 x 5 x 59

Prime factors of 910 are 2 x 5 x 7 x 13

Prime factors of 315 are 3 x 3 x 5 x 7

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

Given numbers are 364, 590, 910, 315

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

Apply this formula for all numbers.

Step1:

LCM(364, 590) = 107380

GCD(364, 590) = ( 364 x 590 ) / 107380

= 364 / 590

= 364

Step2:

LCM(2, 910) = 910

GCD(2, 910) = ( 2 x 910 ) / 910

= 2 / 910

= 2

Step3:

LCM(2, 315) = 630

GCD(2, 315) = ( 2 x 315 ) / 630

= 2 / 315

= 2

So, Greatest Common Divisor of 364, 590, 910, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 664, 288, 375, 745
• GCD of 609, 278, 320, 365
• GCD of 180, 387, 776, 967
• GCD of 785, 672, 225, 124
• GCD of 949, 960, 601, 233

Given numbers are 364, 590, 910, 315
The greatest common divisor of numbers 364, 590, 910, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 590, 910, 315 is 1.

1. What is the GCD of 364, 590, 910, 315?

GCD of given numbers 364, 590, 910, 315 is 1

2. How to calculate the greatest common divisor of 364, 590, 910, 315?

We can find the highest common divisor of 364, 590, 910, 315 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, 590, 910, 315 i.e 1.

3. How can I use the GCD of 364, 590, 910, 315Calculator?

Out the numbers 364, 590, 910, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.