GCD of 504, 168, 186, 693 Calculator

Given Input numbers are 504, 168, 186, 693

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 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 186 :

The positive integer divisors of 186 that completely divides 186 are.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

GCD of numbers is the greatest common divisor

So, the GCD (504, 168, 186, 693) = 3.

Given numbers are 504, 168, 186, 693

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 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 186 are 2 x 3 x 31

Prime factors of 693 are 3 x 3 x 7 x 11

The highest common occurrence is 3¹

Therefore, GCD of 504, 168, 186, 693 is 3.

Given numbers are 504, 168, 186, 693

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

Apply this formula for all numbers.

Step1:

LCM(504, 168) = 504

GCD(504, 168) = ( 504 x 168 ) / 504

= 504 / 168

= 504

Step2:

LCM(168, 186) = 5208

GCD(168, 186) = ( 168 x 186 ) / 5208

= 168 / 186

= 168

Step3:

LCM(6, 693) = 1386

GCD(6, 693) = ( 6 x 693 ) / 1386

= 6 / 693

= 6

So, Greatest Common Divisor of 504, 168, 186, 693 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 861, 333, 826
• GCD of 703, 650, 547, 854
• GCD of 399, 105, 104, 774
• GCD of 390, 437, 362, 589
• GCD of 860, 661, 231, 850

Given numbers are 504, 168, 186, 693
The greatest common divisor of numbers 504, 168, 186, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 168, 186, 693 is 3.

1. What is the GCD of 504, 168, 186, 693?

GCD of given numbers 504, 168, 186, 693 is 3

2. How to calculate the greatest common divisor of 504, 168, 186, 693?

We can find the highest common divisor of 504, 168, 186, 693 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, 168, 186, 693 i.e 3.

3. How can I use the GCD of 504, 168, 186, 693Calculator?

Out the numbers 504, 168, 186, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.