GCD of 120, 255, 504, 969 Calculator

Given Input numbers are 120, 255, 504, 969

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 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

GCD of numbers is the greatest common divisor

So, the GCD (120, 255, 504, 969) = 3.

Given numbers are 120, 255, 504, 969

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 255 are 3 x 5 x 17

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 969 are 3 x 17 x 19

The highest common occurrence is 3¹

Therefore, GCD of 120, 255, 504, 969 is 3.

Given numbers are 120, 255, 504, 969

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

Apply this formula for all numbers.

Step1:

LCM(120, 255) = 2040

GCD(120, 255) = ( 120 x 255 ) / 2040

= 120 / 255

= 120

Step2:

LCM(15, 504) = 2520

GCD(15, 504) = ( 15 x 504 ) / 2520

= 15 / 504

= 15

Step3:

LCM(3, 969) = 969

GCD(3, 969) = ( 3 x 969 ) / 969

= 3 / 969

= 3

So, Greatest Common Divisor of 120, 255, 504, 969 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 158, 677, 406, 863
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Given numbers are 120, 255, 504, 969
The greatest common divisor of numbers 120, 255, 504, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 255, 504, 969 is 3.

1. What is the GCD of 120, 255, 504, 969?

GCD of given numbers 120, 255, 504, 969 is 3

2. How to calculate the greatest common divisor of 120, 255, 504, 969?

We can find the highest common divisor of 120, 255, 504, 969 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, 255, 504, 969 i.e 3.

3. How can I use the GCD of 120, 255, 504, 969Calculator?

Out the numbers 120, 255, 504, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.