GCD of 315, 392, 150, 289 Calculator

Given Input numbers are 315, 392, 150, 289

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

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 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (315, 392, 150, 289) = 1.

Given numbers are 315, 392, 150, 289

The list of prime factors of all numbers are

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

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 289 are 17 x 17

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

Given numbers are 315, 392, 150, 289

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

Apply this formula for all numbers.

Step1:

LCM(315, 392) = 17640

GCD(315, 392) = ( 315 x 392 ) / 17640

= 315 / 392

= 315

Step2:

LCM(7, 150) = 1050

GCD(7, 150) = ( 7 x 150 ) / 1050

= 7 / 150

= 7

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 315, 392, 150, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 252, 343, 742
• GCD of 572, 165, 882, 872
• GCD of 458, 515, 970, 657
• GCD of 919, 432, 244, 864
• GCD of 667, 879, 834, 318

Given numbers are 315, 392, 150, 289
The greatest common divisor of numbers 315, 392, 150, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 392, 150, 289 is 1.

1. What is the GCD of 315, 392, 150, 289?

GCD of given numbers 315, 392, 150, 289 is 1

2. How to calculate the greatest common divisor of 315, 392, 150, 289?

We can find the highest common divisor of 315, 392, 150, 289 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 315, 392, 150, 289 i.e 1.

3. How can I use the GCD of 315, 392, 150, 289Calculator?

Out the numbers 315, 392, 150, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.