GCD of 960, 289, 574, 243 Calculator

Given Input numbers are 960, 289, 574, 243

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

GCD of numbers is the greatest common divisor

So, the GCD (960, 289, 574, 243) = 1.

Given numbers are 960, 289, 574, 243

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 289 are 17 x 17

Prime factors of 574 are 2 x 7 x 41

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 960, 289, 574, 243

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

Apply this formula for all numbers.

Step1:

LCM(960, 289) = 277440

GCD(960, 289) = ( 960 x 289 ) / 277440

= 960 / 289

= 960

Step2:

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

= 1 / 574

= 1

Step3:

LCM(1, 243) = 243

GCD(1, 243) = ( 1 x 243 ) / 243

= 1 / 243

= 1

So, Greatest Common Divisor of 960, 289, 574, 243 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 127, 408, 887, 656
• GCD of 760, 454, 237, 950
• GCD of 839, 444, 100, 759
• GCD of 888, 937, 104, 630
• GCD of 241, 233, 373, 839

Given numbers are 960, 289, 574, 243
The greatest common divisor of numbers 960, 289, 574, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 289, 574, 243 is 1.

1. What is the GCD of 960, 289, 574, 243?

GCD of given numbers 960, 289, 574, 243 is 1

2. How to calculate the greatest common divisor of 960, 289, 574, 243?

We can find the highest common divisor of 960, 289, 574, 243 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 960, 289, 574, 243 i.e 1.

3. How can I use the GCD of 960, 289, 574, 243Calculator?

Out the numbers 960, 289, 574, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.