GCD of 504, 742, 564, 666 Calculator

Given Input numbers are 504, 742, 564, 666

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

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 666 :

The positive integer divisors of 666 that completely divides 666 are.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

GCD of numbers is the greatest common divisor

So, the GCD (504, 742, 564, 666) = 2.

Given numbers are 504, 742, 564, 666

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 742 are 2 x 7 x 53

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

Prime factors of 666 are 2 x 3 x 3 x 37

The highest common occurrence is 2¹

Therefore, GCD of 504, 742, 564, 666 is 2.

Given numbers are 504, 742, 564, 666

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

Apply this formula for all numbers.

Step1:

LCM(504, 742) = 26712

GCD(504, 742) = ( 504 x 742 ) / 26712

= 504 / 742

= 504

Step2:

LCM(14, 564) = 3948

GCD(14, 564) = ( 14 x 564 ) / 3948

= 14 / 564

= 14

Step3:

LCM(2, 666) = 666

GCD(2, 666) = ( 2 x 666 ) / 666

= 2 / 666

= 2

So, Greatest Common Divisor of 504, 742, 564, 666 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 677, 341, 237, 338
• GCD of 461, 843, 971, 734
• GCD of 726, 967, 297, 186
• GCD of 733, 827, 697, 951
• GCD of 598, 791, 446, 135

Given numbers are 504, 742, 564, 666
The greatest common divisor of numbers 504, 742, 564, 666 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 742, 564, 666 is 2.

1. What is the GCD of 504, 742, 564, 666?

GCD of given numbers 504, 742, 564, 666 is 2

2. How to calculate the greatest common divisor of 504, 742, 564, 666?

We can find the highest common divisor of 504, 742, 564, 666 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, 742, 564, 666 i.e 2.

3. How can I use the GCD of 504, 742, 564, 666Calculator?

Out the numbers 504, 742, 564, 666 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.