GCD of 564, 504, 615, 414 Calculator

Given Input numbers are 564, 504, 615, 414

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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 615 :

The positive integer divisors of 615 that completely divides 615 are.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (564, 504, 615, 414) = 3.

Given numbers are 564, 504, 615, 414

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

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

Prime factors of 615 are 3 x 5 x 41

Prime factors of 414 are 2 x 3 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 564, 504, 615, 414 is 3.

Given numbers are 564, 504, 615, 414

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

Apply this formula for all numbers.

Step1:

LCM(564, 504) = 23688

GCD(564, 504) = ( 564 x 504 ) / 23688

= 564 / 504

= 564

Step2:

LCM(12, 615) = 2460

GCD(12, 615) = ( 12 x 615 ) / 2460

= 12 / 615

= 12

Step3:

LCM(3, 414) = 414

GCD(3, 414) = ( 3 x 414 ) / 414

= 3 / 414

= 3

So, Greatest Common Divisor of 564, 504, 615, 414 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 469, 355, 367
• GCD of 598, 928, 483, 402
• GCD of 195, 375, 391, 539
• GCD of 397, 379, 938, 329
• GCD of 419, 306, 488, 445

Given numbers are 564, 504, 615, 414
The greatest common divisor of numbers 564, 504, 615, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 504, 615, 414 is 3.

1. What is the GCD of 564, 504, 615, 414?

GCD of given numbers 564, 504, 615, 414 is 3

2. How to calculate the greatest common divisor of 564, 504, 615, 414?

We can find the highest common divisor of 564, 504, 615, 414 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 564, 504, 615, 414 i.e 3.

3. How can I use the GCD of 564, 504, 615, 414Calculator?

Out the numbers 564, 504, 615, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.