GCD of 312, 852, 477, 470 Calculator

Given Input numbers are 312, 852, 477, 470

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

GCD of numbers is the greatest common divisor

So, the GCD (312, 852, 477, 470) = 1.

Given numbers are 312, 852, 477, 470

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 477 are 3 x 3 x 53

Prime factors of 470 are 2 x 5 x 47

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

Given numbers are 312, 852, 477, 470

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

Apply this formula for all numbers.

Step1:

LCM(312, 852) = 22152

GCD(312, 852) = ( 312 x 852 ) / 22152

= 312 / 852

= 312

Step2:

LCM(12, 477) = 1908

GCD(12, 477) = ( 12 x 477 ) / 1908

= 12 / 477

= 12

Step3:

LCM(3, 470) = 1410

GCD(3, 470) = ( 3 x 470 ) / 1410

= 3 / 470

= 3

So, Greatest Common Divisor of 312, 852, 477, 470 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 922, 417, 204, 137
• GCD of 581, 378, 673, 284
• GCD of 578, 834, 467, 274
• GCD of 671, 549, 443, 984
• GCD of 791, 319, 372, 517

Given numbers are 312, 852, 477, 470
The greatest common divisor of numbers 312, 852, 477, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 852, 477, 470 is 1.

1. What is the GCD of 312, 852, 477, 470?

GCD of given numbers 312, 852, 477, 470 is 1

2. How to calculate the greatest common divisor of 312, 852, 477, 470?

We can find the highest common divisor of 312, 852, 477, 470 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 312, 852, 477, 470 i.e 1.

3. How can I use the GCD of 312, 852, 477, 470Calculator?

Out the numbers 312, 852, 477, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.