GCD of 663, 633, 480, 690 Calculator

Given Input numbers are 663, 633, 480, 690

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

Divisors of 663 :

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

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

Divisors of 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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

GCD of numbers is the greatest common divisor

So, the GCD (663, 633, 480, 690) = 3.

Given numbers are 663, 633, 480, 690

The list of prime factors of all numbers are

Prime factors of 663 are 3 x 13 x 17

Prime factors of 633 are 3 x 211

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

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

The highest common occurrence is 3¹

Therefore, GCD of 663, 633, 480, 690 is 3.

Given numbers are 663, 633, 480, 690

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

Apply this formula for all numbers.

Step1:

LCM(663, 633) = 139893

GCD(663, 633) = ( 663 x 633 ) / 139893

= 663 / 633

= 663

Step2:

LCM(3, 480) = 480

GCD(3, 480) = ( 3 x 480 ) / 480

= 3 / 480

= 3

Step3:

LCM(3, 690) = 690

GCD(3, 690) = ( 3 x 690 ) / 690

= 3 / 690

= 3

So, Greatest Common Divisor of 663, 633, 480, 690 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 225, 173, 844, 368
• GCD of 464, 826, 570, 661
• GCD of 339, 883, 819, 677
• GCD of 855, 384, 597, 749
• GCD of 284, 238, 513, 250

Given numbers are 663, 633, 480, 690
The greatest common divisor of numbers 663, 633, 480, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 663, 633, 480, 690 is 3.

1. What is the GCD of 663, 633, 480, 690?

GCD of given numbers 663, 633, 480, 690 is 3

2. How to calculate the greatest common divisor of 663, 633, 480, 690?

We can find the highest common divisor of 663, 633, 480, 690 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 663, 633, 480, 690 i.e 3.

3. How can I use the GCD of 663, 633, 480, 690Calculator?

Out the numbers 663, 633, 480, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.