GCD of 495, 120, 954, 489 Calculator

Given Input numbers are 495, 120, 954, 489

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

GCD of numbers is the greatest common divisor

So, the GCD (495, 120, 954, 489) = 3.

Given numbers are 495, 120, 954, 489

The list of prime factors of all numbers are

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

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 489 are 3 x 163

The highest common occurrence is 3¹

Therefore, GCD of 495, 120, 954, 489 is 3.

Given numbers are 495, 120, 954, 489

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

Apply this formula for all numbers.

Step1:

LCM(495, 120) = 3960

GCD(495, 120) = ( 495 x 120 ) / 3960

= 495 / 120

= 495

Step2:

LCM(15, 954) = 4770

GCD(15, 954) = ( 15 x 954 ) / 4770

= 15 / 954

= 15

Step3:

LCM(3, 489) = 489

GCD(3, 489) = ( 3 x 489 ) / 489

= 3 / 489

= 3

So, Greatest Common Divisor of 495, 120, 954, 489 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 957, 990, 152
• GCD of 160, 637, 745, 461
• GCD of 894, 803, 176, 313
• GCD of 118, 945, 930, 442
• GCD of 164, 263, 913, 267

Given numbers are 495, 120, 954, 489
The greatest common divisor of numbers 495, 120, 954, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 120, 954, 489 is 3.

1. What is the GCD of 495, 120, 954, 489?

GCD of given numbers 495, 120, 954, 489 is 3

2. How to calculate the greatest common divisor of 495, 120, 954, 489?

We can find the highest common divisor of 495, 120, 954, 489 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, 120, 954, 489 i.e 3.

3. How can I use the GCD of 495, 120, 954, 489Calculator?

Out the numbers 495, 120, 954, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.