GCD of 382, 172, 962, 315 Calculator

Given Input numbers are 382, 172, 962, 315

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

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 (382, 172, 962, 315) = 1.

Given numbers are 382, 172, 962, 315

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 172 are 2 x 2 x 43

Prime factors of 962 are 2 x 13 x 37

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 382, 172, 962, 315

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

Apply this formula for all numbers.

Step1:

LCM(382, 172) = 32852

GCD(382, 172) = ( 382 x 172 ) / 32852

= 382 / 172

= 382

Step2:

LCM(2, 962) = 962

GCD(2, 962) = ( 2 x 962 ) / 962

= 2 / 962

= 2

Step3:

LCM(2, 315) = 630

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

= 2 / 315

= 2

So, Greatest Common Divisor of 382, 172, 962, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 794, 514, 752
• GCD of 154, 300, 360, 699
• GCD of 966, 686, 852, 736
• GCD of 570, 702, 373, 709
• GCD of 775, 949, 864, 817

Given numbers are 382, 172, 962, 315
The greatest common divisor of numbers 382, 172, 962, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 172, 962, 315 is 1.

1. What is the GCD of 382, 172, 962, 315?

GCD of given numbers 382, 172, 962, 315 is 1

2. How to calculate the greatest common divisor of 382, 172, 962, 315?

We can find the highest common divisor of 382, 172, 962, 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 382, 172, 962, 315 i.e 1.

3. How can I use the GCD of 382, 172, 962, 315Calculator?

Out the numbers 382, 172, 962, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.