GCD of 312, 624, 385, 172 Calculator

Given Input numbers are 312, 624, 385, 172

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 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (312, 624, 385, 172) = 1.

Given numbers are 312, 624, 385, 172

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 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 385 are 5 x 7 x 11

Prime factors of 172 are 2 x 2 x 43

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

Given numbers are 312, 624, 385, 172

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

Apply this formula for all numbers.

Step1:

LCM(312, 624) = 624

GCD(312, 624) = ( 312 x 624 ) / 624

= 312 / 624

= 312

Step2:

LCM(312, 385) = 120120

GCD(312, 385) = ( 312 x 385 ) / 120120

= 312 / 385

= 312

Step3:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1

So, Greatest Common Divisor of 312, 624, 385, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 899, 113, 507
• GCD of 927, 337, 194, 447
• GCD of 865, 435, 804, 570
• GCD of 373, 749, 712, 269
• GCD of 910, 684, 962, 808

Given numbers are 312, 624, 385, 172
The greatest common divisor of numbers 312, 624, 385, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 624, 385, 172 is 1.

1. What is the GCD of 312, 624, 385, 172?

GCD of given numbers 312, 624, 385, 172 is 1

2. How to calculate the greatest common divisor of 312, 624, 385, 172?

We can find the highest common divisor of 312, 624, 385, 172 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, 624, 385, 172 i.e 1.

3. How can I use the GCD of 312, 624, 385, 172Calculator?

Out the numbers 312, 624, 385, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.