GCD of 369, 138, 504, 612 Calculator

Given Input numbers are 369, 138, 504, 612

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

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

GCD of numbers is the greatest common divisor

So, the GCD (369, 138, 504, 612) = 3.

Given numbers are 369, 138, 504, 612

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 138 are 2 x 3 x 23

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

The highest common occurrence is 3¹

Therefore, GCD of 369, 138, 504, 612 is 3.

Given numbers are 369, 138, 504, 612

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

Apply this formula for all numbers.

Step1:

LCM(369, 138) = 16974

GCD(369, 138) = ( 369 x 138 ) / 16974

= 369 / 138

= 369

Step2:

LCM(3, 504) = 504

GCD(3, 504) = ( 3 x 504 ) / 504

= 3 / 504

= 3

Step3:

LCM(3, 612) = 612

GCD(3, 612) = ( 3 x 612 ) / 612

= 3 / 612

= 3

So, Greatest Common Divisor of 369, 138, 504, 612 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 807, 322, 179
• GCD of 990, 428, 786, 696
• GCD of 640, 519, 202, 868
• GCD of 861, 509, 966, 458
• GCD of 314, 844, 228, 900

Given numbers are 369, 138, 504, 612
The greatest common divisor of numbers 369, 138, 504, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 138, 504, 612 is 3.

1. What is the GCD of 369, 138, 504, 612?

GCD of given numbers 369, 138, 504, 612 is 3

2. How to calculate the greatest common divisor of 369, 138, 504, 612?

We can find the highest common divisor of 369, 138, 504, 612 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 369, 138, 504, 612 i.e 3.

3. How can I use the GCD of 369, 138, 504, 612Calculator?

Out the numbers 369, 138, 504, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.