GCD of 315, 165, 461, 687 Calculator

Given Input numbers are 315, 165, 461, 687

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 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (315, 165, 461, 687) = 1.

Given numbers are 315, 165, 461, 687

The list of prime factors of all numbers are

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

Prime factors of 165 are 3 x 5 x 11

Prime factors of 461 are 461

Prime factors of 687 are 3 x 229

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

Given numbers are 315, 165, 461, 687

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

Apply this formula for all numbers.

Step1:

LCM(315, 165) = 3465

GCD(315, 165) = ( 315 x 165 ) / 3465

= 315 / 165

= 315

Step2:

LCM(15, 461) = 6915

GCD(15, 461) = ( 15 x 461 ) / 6915

= 15 / 461

= 15

Step3:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1

So, Greatest Common Divisor of 315, 165, 461, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 234, 133, 349
• GCD of 763, 161, 379, 118
• GCD of 765, 405, 956, 769
• GCD of 509, 793, 550, 708
• GCD of 896, 254, 679, 685

Given numbers are 315, 165, 461, 687
The greatest common divisor of numbers 315, 165, 461, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 165, 461, 687 is 1.

1. What is the GCD of 315, 165, 461, 687?

GCD of given numbers 315, 165, 461, 687 is 1

2. How to calculate the greatest common divisor of 315, 165, 461, 687?

We can find the highest common divisor of 315, 165, 461, 687 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, 165, 461, 687 i.e 1.

3. How can I use the GCD of 315, 165, 461, 687Calculator?

Out the numbers 315, 165, 461, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.