GCD of 648, 225, 921, 231 Calculator

Given Input numbers are 648, 225, 921, 231

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 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 921 :

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

1, 3, 307, 921

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

GCD of numbers is the greatest common divisor

So, the GCD (648, 225, 921, 231) = 3.

Given numbers are 648, 225, 921, 231

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 225 are 3 x 3 x 5 x 5

Prime factors of 921 are 3 x 307

Prime factors of 231 are 3 x 7 x 11

The highest common occurrence is 3¹

Therefore, GCD of 648, 225, 921, 231 is 3.

Given numbers are 648, 225, 921, 231

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

Apply this formula for all numbers.

Step1:

LCM(648, 225) = 16200

GCD(648, 225) = ( 648 x 225 ) / 16200

= 648 / 225

= 648

Step2:

LCM(9, 921) = 2763

GCD(9, 921) = ( 9 x 921 ) / 2763

= 9 / 921

= 9

Step3:

LCM(3, 231) = 231

GCD(3, 231) = ( 3 x 231 ) / 231

= 3 / 231

= 3

So, Greatest Common Divisor of 648, 225, 921, 231 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 772, 681, 706, 595
• GCD of 886, 521, 154, 852
• GCD of 453, 400, 620, 231
• GCD of 473, 667, 887, 879
• GCD of 757, 899, 261, 523

Given numbers are 648, 225, 921, 231
The greatest common divisor of numbers 648, 225, 921, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 225, 921, 231 is 3.

1. What is the GCD of 648, 225, 921, 231?

GCD of given numbers 648, 225, 921, 231 is 3

2. How to calculate the greatest common divisor of 648, 225, 921, 231?

We can find the highest common divisor of 648, 225, 921, 231 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, 225, 921, 231 i.e 3.

3. How can I use the GCD of 648, 225, 921, 231Calculator?

Out the numbers 648, 225, 921, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.