GCD of 648, 336, 63, 351 Calculator

Given Input numbers are 648, 336, 63, 351

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

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 63 :

The positive integer divisors of 63 that completely divides 63 are.

1, 3, 7, 9, 21, 63

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

GCD of numbers is the greatest common divisor

So, the GCD (648, 336, 63, 351) = 3.

Given numbers are 648, 336, 63, 351

The list of prime factors of all numbers are

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 63 are 3 x 3 x 7

Prime factors of 351 are 3 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 648, 336, 63, 351 is 3.

Given numbers are 648, 336, 63, 351

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

Apply this formula for all numbers.

Step1:

LCM(648, 336) = 9072

GCD(648, 336) = ( 648 x 336 ) / 9072

= 648 / 336

= 648

Step2:

LCM(24, 63) = 504

GCD(24, 63) = ( 24 x 63 ) / 504

= 24 / 63

= 24

Step3:

LCM(3, 351) = 351

GCD(3, 351) = ( 3 x 351 ) / 351

= 3 / 351

= 3

So, Greatest Common Divisor of 648, 336, 63, 351 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 419, 359, 27, 225
• GCD of 926, 258, 24, 878
• GCD of 264, 651, 59, 542
• GCD of 377, 228, 85, 442
• GCD of 970, 596, 17, 591

Given numbers are 648, 336, 63, 351
The greatest common divisor of numbers 648, 336, 63, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 336, 63, 351 is 3.

1. What is the GCD of 648, 336, 63, 351?

GCD of given numbers 648, 336, 63, 351 is 3

2. How to calculate the greatest common divisor of 648, 336, 63, 351?

We can find the highest common divisor of 648, 336, 63, 351 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 648, 336, 63, 351 i.e 3.

3. How can I use the GCD of 648, 336, 63, 351Calculator?

Out the numbers 648, 336, 63, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.