GCD of 120, 900, 495, 564 Calculator

Given Input numbers are 120, 900, 495, 564

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

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 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (120, 900, 495, 564) = 3.

Given numbers are 120, 900, 495, 564

The list of prime factors of all numbers are

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

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 120, 900, 495, 564 is 3.

Given numbers are 120, 900, 495, 564

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

Apply this formula for all numbers.

Step1:

LCM(120, 900) = 1800

GCD(120, 900) = ( 120 x 900 ) / 1800

= 120 / 900

= 120

Step2:

LCM(60, 495) = 1980

GCD(60, 495) = ( 60 x 495 ) / 1980

= 60 / 495

= 60

Step3:

LCM(15, 564) = 2820

GCD(15, 564) = ( 15 x 564 ) / 2820

= 15 / 564

= 15

So, Greatest Common Divisor of 120, 900, 495, 564 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 394, 917, 703, 221
• GCD of 681, 735, 195, 195
• GCD of 385, 908, 700, 978
• GCD of 945, 776, 771, 551
• GCD of 722, 424, 437, 684

Given numbers are 120, 900, 495, 564
The greatest common divisor of numbers 120, 900, 495, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 900, 495, 564 is 3.

1. What is the GCD of 120, 900, 495, 564?

GCD of given numbers 120, 900, 495, 564 is 3

2. How to calculate the greatest common divisor of 120, 900, 495, 564?

We can find the highest common divisor of 120, 900, 495, 564 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 120, 900, 495, 564 i.e 3.

3. How can I use the GCD of 120, 900, 495, 564Calculator?

Out the numbers 120, 900, 495, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.