GCD of 495, 492, 114, 180 Calculator

Given Input numbers are 495, 492, 114, 180

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

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

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 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (495, 492, 114, 180) = 3.

Given numbers are 495, 492, 114, 180

The list of prime factors of all numbers are

Prime factors of 495 are 3 x 3 x 5 x 11

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

Prime factors of 114 are 2 x 3 x 19

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 495, 492, 114, 180 is 3.

Given numbers are 495, 492, 114, 180

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

Apply this formula for all numbers.

Step1:

LCM(495, 492) = 81180

GCD(495, 492) = ( 495 x 492 ) / 81180

= 495 / 492

= 495

Step2:

LCM(3, 114) = 114

GCD(3, 114) = ( 3 x 114 ) / 114

= 3 / 114

= 3

Step3:

LCM(3, 180) = 180

GCD(3, 180) = ( 3 x 180 ) / 180

= 3 / 180

= 3

So, Greatest Common Divisor of 495, 492, 114, 180 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 444, 850, 316
• GCD of 664, 624, 696, 395
• GCD of 945, 895, 227, 538
• GCD of 393, 100, 920, 286
• GCD of 430, 186, 507, 133

Given numbers are 495, 492, 114, 180
The greatest common divisor of numbers 495, 492, 114, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 492, 114, 180 is 3.

1. What is the GCD of 495, 492, 114, 180?

GCD of given numbers 495, 492, 114, 180 is 3

2. How to calculate the greatest common divisor of 495, 492, 114, 180?

We can find the highest common divisor of 495, 492, 114, 180 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 495, 492, 114, 180 i.e 3.

3. How can I use the GCD of 495, 492, 114, 180Calculator?

Out the numbers 495, 492, 114, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.