GCD of 921, 225, 891, 654 Calculator

Given Input numbers are 921, 225, 891, 654

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

Divisors of 921 :

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

1, 3, 307, 921

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 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

GCD of numbers is the greatest common divisor

So, the GCD (921, 225, 891, 654) = 3.

Given numbers are 921, 225, 891, 654

The list of prime factors of all numbers are

Prime factors of 921 are 3 x 307

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 654 are 2 x 3 x 109

The highest common occurrence is 3¹

Therefore, GCD of 921, 225, 891, 654 is 3.

Given numbers are 921, 225, 891, 654

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

Apply this formula for all numbers.

Step1:

LCM(921, 225) = 69075

GCD(921, 225) = ( 921 x 225 ) / 69075

= 921 / 225

= 921

Step2:

LCM(3, 891) = 891

GCD(3, 891) = ( 3 x 891 ) / 891

= 3 / 891

= 3

Step3:

LCM(3, 654) = 654

GCD(3, 654) = ( 3 x 654 ) / 654

= 3 / 654

= 3

So, Greatest Common Divisor of 921, 225, 891, 654 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 851, 664, 644, 298
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• GCD of 312, 872, 701, 882

Given numbers are 921, 225, 891, 654
The greatest common divisor of numbers 921, 225, 891, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 225, 891, 654 is 3.

1. What is the GCD of 921, 225, 891, 654?

GCD of given numbers 921, 225, 891, 654 is 3

2. How to calculate the greatest common divisor of 921, 225, 891, 654?

We can find the highest common divisor of 921, 225, 891, 654 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 921, 225, 891, 654 i.e 3.

3. How can I use the GCD of 921, 225, 891, 654Calculator?

Out the numbers 921, 225, 891, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.