GCD of 504, 354, 316, 315 Calculator

Given Input numbers are 504, 354, 316, 315

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

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 (504, 354, 316, 315) = 1.

Given numbers are 504, 354, 316, 315

The list of prime factors of all numbers are

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 354 are 2 x 3 x 59

Prime factors of 316 are 2 x 2 x 79

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 504, 354, 316, 315

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

Apply this formula for all numbers.

Step1:

LCM(504, 354) = 29736

GCD(504, 354) = ( 504 x 354 ) / 29736

= 504 / 354

= 504

Step2:

LCM(6, 316) = 948

GCD(6, 316) = ( 6 x 316 ) / 948

= 6 / 316

= 6

Step3:

LCM(2, 315) = 630

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

= 2 / 315

= 2

So, Greatest Common Divisor of 504, 354, 316, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 328, 319, 416
• GCD of 291, 346, 963, 449
• GCD of 910, 470, 432, 791
• GCD of 136, 984, 230, 280
• GCD of 159, 636, 336, 912

Given numbers are 504, 354, 316, 315
The greatest common divisor of numbers 504, 354, 316, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 354, 316, 315 is 1.

1. What is the GCD of 504, 354, 316, 315?

GCD of given numbers 504, 354, 316, 315 is 1

2. How to calculate the greatest common divisor of 504, 354, 316, 315?

We can find the highest common divisor of 504, 354, 316, 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 504, 354, 316, 315 i.e 1.

3. How can I use the GCD of 504, 354, 316, 315Calculator?

Out the numbers 504, 354, 316, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.