GCD of 648, 708, 408, 921 Calculator

Given Input numbers are 648, 708, 408, 921

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 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

GCD of numbers is the greatest common divisor

So, the GCD (648, 708, 408, 921) = 3.

Given numbers are 648, 708, 408, 921

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 708 are 2 x 2 x 3 x 59

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 921 are 3 x 307

The highest common occurrence is 3¹

Therefore, GCD of 648, 708, 408, 921 is 3.

Given numbers are 648, 708, 408, 921

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

Apply this formula for all numbers.

Step1:

LCM(648, 708) = 38232

GCD(648, 708) = ( 648 x 708 ) / 38232

= 648 / 708

= 648

Step2:

LCM(12, 408) = 408

GCD(12, 408) = ( 12 x 408 ) / 408

= 12 / 408

= 12

Step3:

LCM(12, 921) = 3684

GCD(12, 921) = ( 12 x 921 ) / 3684

= 12 / 921

= 12

So, Greatest Common Divisor of 648, 708, 408, 921 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 139, 791, 971, 989
• GCD of 896, 183, 367, 899
• GCD of 621, 242, 494, 875
• GCD of 894, 166, 953, 381
• GCD of 723, 899, 762, 970

Given numbers are 648, 708, 408, 921
The greatest common divisor of numbers 648, 708, 408, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 708, 408, 921 is 3.

1. What is the GCD of 648, 708, 408, 921?

GCD of given numbers 648, 708, 408, 921 is 3

2. How to calculate the greatest common divisor of 648, 708, 408, 921?

We can find the highest common divisor of 648, 708, 408, 921 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, 708, 408, 921 i.e 3.

3. How can I use the GCD of 648, 708, 408, 921Calculator?

Out the numbers 648, 708, 408, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.