GCD of 441, 465, 492, 921 Calculator

Given Input numbers are 441, 465, 492, 921

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

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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 (441, 465, 492, 921) = 3.

Given numbers are 441, 465, 492, 921

The list of prime factors of all numbers are

Prime factors of 441 are 3 x 3 x 7 x 7

Prime factors of 465 are 3 x 5 x 31

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 921 are 3 x 307

The highest common occurrence is 3¹

Therefore, GCD of 441, 465, 492, 921 is 3.

Given numbers are 441, 465, 492, 921

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

Apply this formula for all numbers.

Step1:

LCM(441, 465) = 68355

GCD(441, 465) = ( 441 x 465 ) / 68355

= 441 / 465

= 441

Step2:

LCM(3, 492) = 492

GCD(3, 492) = ( 3 x 492 ) / 492

= 3 / 492

= 3

Step3:

LCM(3, 921) = 921

GCD(3, 921) = ( 3 x 921 ) / 921

= 3 / 921

= 3

So, Greatest Common Divisor of 441, 465, 492, 921 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 679, 620, 652, 959
• GCD of 843, 102, 225, 913
• GCD of 121, 779, 973, 891
• GCD of 802, 732, 535, 998
• GCD of 331, 430, 106, 405

Given numbers are 441, 465, 492, 921
The greatest common divisor of numbers 441, 465, 492, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 441, 465, 492, 921 is 3.

1. What is the GCD of 441, 465, 492, 921?

GCD of given numbers 441, 465, 492, 921 is 3

2. How to calculate the greatest common divisor of 441, 465, 492, 921?

We can find the highest common divisor of 441, 465, 492, 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 441, 465, 492, 921 i.e 3.

3. How can I use the GCD of 441, 465, 492, 921Calculator?

Out the numbers 441, 465, 492, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.