GCD of 492, 480, 177, 468 Calculator

Given Input numbers are 492, 480, 177, 468

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

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 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

GCD of numbers is the greatest common divisor

So, the GCD (492, 480, 177, 468) = 3.

Given numbers are 492, 480, 177, 468

The list of prime factors of all numbers are

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

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 177 are 3 x 59

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 492, 480, 177, 468 is 3.

Given numbers are 492, 480, 177, 468

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

Apply this formula for all numbers.

Step1:

LCM(492, 480) = 19680

GCD(492, 480) = ( 492 x 480 ) / 19680

= 492 / 480

= 492

Step2:

LCM(12, 177) = 708

GCD(12, 177) = ( 12 x 177 ) / 708

= 12 / 177

= 12

Step3:

LCM(3, 468) = 468

GCD(3, 468) = ( 3 x 468 ) / 468

= 3 / 468

= 3

So, Greatest Common Divisor of 492, 480, 177, 468 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 644, 586, 936
• GCD of 595, 148, 785, 916
• GCD of 247, 717, 125, 265
• GCD of 885, 701, 594, 857
• GCD of 225, 782, 476, 704

Given numbers are 492, 480, 177, 468
The greatest common divisor of numbers 492, 480, 177, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 480, 177, 468 is 3.

1. What is the GCD of 492, 480, 177, 468?

GCD of given numbers 492, 480, 177, 468 is 3

2. How to calculate the greatest common divisor of 492, 480, 177, 468?

We can find the highest common divisor of 492, 480, 177, 468 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 492, 480, 177, 468 i.e 3.

3. How can I use the GCD of 492, 480, 177, 468Calculator?

Out the numbers 492, 480, 177, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.