GCD of 315, 935, 655, 505 Calculator

Given Input numbers are 315, 935, 655, 505

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 935 :

The positive integer divisors of 935 that completely divides 935 are.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

GCD of numbers is the greatest common divisor

So, the GCD (315, 935, 655, 505) = 5.

Given numbers are 315, 935, 655, 505

The list of prime factors of all numbers are

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

Prime factors of 935 are 5 x 11 x 17

Prime factors of 655 are 5 x 131

Prime factors of 505 are 5 x 101

The highest common occurrence is 5¹

Therefore, GCD of 315, 935, 655, 505 is 5.

Given numbers are 315, 935, 655, 505

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

Apply this formula for all numbers.

Step1:

LCM(315, 935) = 58905

GCD(315, 935) = ( 315 x 935 ) / 58905

= 315 / 935

= 315

Step2:

LCM(5, 655) = 655

GCD(5, 655) = ( 5 x 655 ) / 655

= 5 / 655

= 5

Step3:

LCM(5, 505) = 505

GCD(5, 505) = ( 5 x 505 ) / 505

= 5 / 505

= 5

So, Greatest Common Divisor of 315, 935, 655, 505 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 285, 419, 633, 898
• GCD of 995, 726, 112, 407
• GCD of 429, 580, 837, 160
• GCD of 215, 484, 405, 630
• GCD of 118, 179, 629, 438

Given numbers are 315, 935, 655, 505
The greatest common divisor of numbers 315, 935, 655, 505 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 935, 655, 505 is 5.

1. What is the GCD of 315, 935, 655, 505?

GCD of given numbers 315, 935, 655, 505 is 5

2. How to calculate the greatest common divisor of 315, 935, 655, 505?

We can find the highest common divisor of 315, 935, 655, 505 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, 935, 655, 505 i.e 5.

3. How can I use the GCD of 315, 935, 655, 505Calculator?

Out the numbers 315, 935, 655, 505 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.