GCD of 312, 380, 315, 434 Calculator

Given Input numbers are 312, 380, 315, 434

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 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

GCD of numbers is the greatest common divisor

So, the GCD (312, 380, 315, 434) = 1.

Given numbers are 312, 380, 315, 434

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 380 are 2 x 2 x 5 x 19

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

Prime factors of 434 are 2 x 7 x 31

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

Given numbers are 312, 380, 315, 434

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

Apply this formula for all numbers.

Step1:

LCM(312, 380) = 29640

GCD(312, 380) = ( 312 x 380 ) / 29640

= 312 / 380

= 312

Step2:

LCM(4, 315) = 1260

GCD(4, 315) = ( 4 x 315 ) / 1260

= 4 / 315

= 4

Step3:

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

= 1 / 434

= 1

So, Greatest Common Divisor of 312, 380, 315, 434 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 627, 557, 917, 384
• GCD of 721, 710, 315, 866
• GCD of 127, 774, 548, 462
• GCD of 905, 810, 191, 434
• GCD of 395, 144, 104, 981

Given numbers are 312, 380, 315, 434
The greatest common divisor of numbers 312, 380, 315, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 380, 315, 434 is 1.

1. What is the GCD of 312, 380, 315, 434?

GCD of given numbers 312, 380, 315, 434 is 1

2. How to calculate the greatest common divisor of 312, 380, 315, 434?

We can find the highest common divisor of 312, 380, 315, 434 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, 380, 315, 434 i.e 1.

3. How can I use the GCD of 312, 380, 315, 434Calculator?

Out the numbers 312, 380, 315, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.