GCD of 609, 504, 612, 741 Calculator

Given Input numbers are 609, 504, 612, 741

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

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

GCD of numbers is the greatest common divisor

So, the GCD (609, 504, 612, 741) = 3.

Given numbers are 609, 504, 612, 741

The list of prime factors of all numbers are

Prime factors of 609 are 3 x 7 x 29

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

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 741 are 3 x 13 x 19

The highest common occurrence is 3¹

Therefore, GCD of 609, 504, 612, 741 is 3.

Given numbers are 609, 504, 612, 741

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

Apply this formula for all numbers.

Step1:

LCM(609, 504) = 14616

GCD(609, 504) = ( 609 x 504 ) / 14616

= 609 / 504

= 609

Step2:

LCM(21, 612) = 4284

GCD(21, 612) = ( 21 x 612 ) / 4284

= 21 / 612

= 21

Step3:

LCM(3, 741) = 741

GCD(3, 741) = ( 3 x 741 ) / 741

= 3 / 741

= 3

So, Greatest Common Divisor of 609, 504, 612, 741 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 723, 751, 246
• GCD of 767, 496, 825, 882
• GCD of 207, 260, 798, 359
• GCD of 598, 339, 659, 755
• GCD of 192, 941, 179, 659

Given numbers are 609, 504, 612, 741
The greatest common divisor of numbers 609, 504, 612, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 609, 504, 612, 741 is 3.

1. What is the GCD of 609, 504, 612, 741?

GCD of given numbers 609, 504, 612, 741 is 3

2. How to calculate the greatest common divisor of 609, 504, 612, 741?

We can find the highest common divisor of 609, 504, 612, 741 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 609, 504, 612, 741 i.e 3.

3. How can I use the GCD of 609, 504, 612, 741Calculator?

Out the numbers 609, 504, 612, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.