GCD of 690, 663, 678, 504 Calculator

Given Input numbers are 690, 663, 678, 504

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

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

GCD of numbers is the greatest common divisor

So, the GCD (690, 663, 678, 504) = 3.

Given numbers are 690, 663, 678, 504

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 663 are 3 x 13 x 17

Prime factors of 678 are 2 x 3 x 113

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

The highest common occurrence is 3¹

Therefore, GCD of 690, 663, 678, 504 is 3.

Given numbers are 690, 663, 678, 504

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

Apply this formula for all numbers.

Step1:

LCM(690, 663) = 152490

GCD(690, 663) = ( 690 x 663 ) / 152490

= 690 / 663

= 690

Step2:

LCM(3, 678) = 678

GCD(3, 678) = ( 3 x 678 ) / 678

= 3 / 678

= 3

Step3:

LCM(3, 504) = 504

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

= 3 / 504

= 3

So, Greatest Common Divisor of 690, 663, 678, 504 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 459, 166, 405, 262
• GCD of 863, 613, 896, 680
• GCD of 919, 805, 439, 558
• GCD of 914, 451, 841, 100
• GCD of 103, 351, 655, 385

Given numbers are 690, 663, 678, 504
The greatest common divisor of numbers 690, 663, 678, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 663, 678, 504 is 3.

1. What is the GCD of 690, 663, 678, 504?

GCD of given numbers 690, 663, 678, 504 is 3

2. How to calculate the greatest common divisor of 690, 663, 678, 504?

We can find the highest common divisor of 690, 663, 678, 504 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 690, 663, 678, 504 i.e 3.

3. How can I use the GCD of 690, 663, 678, 504Calculator?

Out the numbers 690, 663, 678, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.