GCD of 465, 492, 51, 633 Calculator

Given Input numbers are 465, 492, 51, 633

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

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 51 :

The positive integer divisors of 51 that completely divides 51 are.

1, 3, 17, 51

Divisors of 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633

GCD of numbers is the greatest common divisor

So, the GCD (465, 492, 51, 633) = 3.

Given numbers are 465, 492, 51, 633

The list of prime factors of all numbers are

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 51 are 3 x 17

Prime factors of 633 are 3 x 211

The highest common occurrence is 3¹

Therefore, GCD of 465, 492, 51, 633 is 3.

Given numbers are 465, 492, 51, 633

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

Apply this formula for all numbers.

Step1:

LCM(465, 492) = 76260

GCD(465, 492) = ( 465 x 492 ) / 76260

= 465 / 492

= 465

Step2:

LCM(3, 51) = 51

GCD(3, 51) = ( 3 x 51 ) / 51

= 3 / 51

= 3

Step3:

LCM(3, 633) = 633

GCD(3, 633) = ( 3 x 633 ) / 633

= 3 / 633

= 3

So, Greatest Common Divisor of 465, 492, 51, 633 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 743, 55, 357
• GCD of 770, 691, 21, 170
• GCD of 921, 452, 27, 276
• GCD of 908, 709, 89, 790
• GCD of 116, 426, 19, 755

Given numbers are 465, 492, 51, 633
The greatest common divisor of numbers 465, 492, 51, 633 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 492, 51, 633 is 3.

1. What is the GCD of 465, 492, 51, 633?

GCD of given numbers 465, 492, 51, 633 is 3

2. How to calculate the greatest common divisor of 465, 492, 51, 633?

We can find the highest common divisor of 465, 492, 51, 633 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 465, 492, 51, 633 i.e 3.

3. How can I use the GCD of 465, 492, 51, 633Calculator?

Out the numbers 465, 492, 51, 633 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.