GCD of 225, 921, 84, 549 Calculator

Given Input numbers are 225, 921, 84, 549

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

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 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

GCD of numbers is the greatest common divisor

So, the GCD (225, 921, 84, 549) = 3.

Given numbers are 225, 921, 84, 549

The list of prime factors of all numbers are

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

Prime factors of 921 are 3 x 307

Prime factors of 84 are 2 x 2 x 3 x 7

Prime factors of 549 are 3 x 3 x 61

The highest common occurrence is 3¹

Therefore, GCD of 225, 921, 84, 549 is 3.

Given numbers are 225, 921, 84, 549

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

Apply this formula for all numbers.

Step1:

LCM(225, 921) = 69075

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

= 225 / 921

= 225

Step2:

LCM(3, 84) = 84

GCD(3, 84) = ( 3 x 84 ) / 84

= 3 / 84

= 3

Step3:

LCM(3, 549) = 549

GCD(3, 549) = ( 3 x 549 ) / 549

= 3 / 549

= 3

So, Greatest Common Divisor of 225, 921, 84, 549 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 392, 811, 15, 367
• GCD of 592, 490, 95, 295
• GCD of 922, 262, 92, 563
• GCD of 836, 742, 90, 674
• GCD of 661, 637, 48, 613

Given numbers are 225, 921, 84, 549
The greatest common divisor of numbers 225, 921, 84, 549 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 921, 84, 549 is 3.

1. What is the GCD of 225, 921, 84, 549?

GCD of given numbers 225, 921, 84, 549 is 3

2. How to calculate the greatest common divisor of 225, 921, 84, 549?

We can find the highest common divisor of 225, 921, 84, 549 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 225, 921, 84, 549 i.e 3.

3. How can I use the GCD of 225, 921, 84, 549Calculator?

Out the numbers 225, 921, 84, 549 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.