GCD of 364, 210, 315, 812 Calculator

Given Input numbers are 364, 210, 315, 812

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 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

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

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

GCD of numbers is the greatest common divisor

So, the GCD (364, 210, 315, 812) = 7.

Given numbers are 364, 210, 315, 812

The list of prime factors of all numbers are

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

Prime factors of 210 are 2 x 3 x 5 x 7

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

Prime factors of 812 are 2 x 2 x 7 x 29

The highest common occurrence is 7¹

Therefore, GCD of 364, 210, 315, 812 is 7.

Given numbers are 364, 210, 315, 812

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

Apply this formula for all numbers.

Step1:

LCM(364, 210) = 5460

GCD(364, 210) = ( 364 x 210 ) / 5460

= 364 / 210

= 364

Step2:

LCM(14, 315) = 630

GCD(14, 315) = ( 14 x 315 ) / 630

= 14 / 315

= 14

Step3:

LCM(7, 812) = 812

GCD(7, 812) = ( 7 x 812 ) / 812

= 7 / 812

= 7

So, Greatest Common Divisor of 364, 210, 315, 812 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 410, 102, 496, 628
• GCD of 468, 139, 349, 379
• GCD of 485, 409, 338, 460
• GCD of 282, 607, 254, 933
• GCD of 157, 737, 655, 350

Given numbers are 364, 210, 315, 812
The greatest common divisor of numbers 364, 210, 315, 812 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 210, 315, 812 is 7.

1. What is the GCD of 364, 210, 315, 812?

GCD of given numbers 364, 210, 315, 812 is 7

2. How to calculate the greatest common divisor of 364, 210, 315, 812?

We can find the highest common divisor of 364, 210, 315, 812 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, 210, 315, 812 i.e 7.

3. How can I use the GCD of 364, 210, 315, 812Calculator?

Out the numbers 364, 210, 315, 812 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.