GCD of 960, 560, 431, 199 Calculator

Given Input numbers are 960, 560, 431, 199

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 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

GCD of numbers is the greatest common divisor

So, the GCD (960, 560, 431, 199) = 1.

Given numbers are 960, 560, 431, 199

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 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 431 are 431

Prime factors of 199 are 199

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

Given numbers are 960, 560, 431, 199

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

Apply this formula for all numbers.

Step1:

LCM(960, 560) = 6720

GCD(960, 560) = ( 960 x 560 ) / 6720

= 960 / 560

= 960

Step2:

LCM(80, 431) = 34480

GCD(80, 431) = ( 80 x 431 ) / 34480

= 80 / 431

= 80

Step3:

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

= 1 / 199

= 1

So, Greatest Common Divisor of 960, 560, 431, 199 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 550, 562, 579, 883
• GCD of 529, 284, 547, 662
• GCD of 442, 557, 384, 279
• GCD of 547, 939, 390, 571
• GCD of 252, 988, 265, 791

Given numbers are 960, 560, 431, 199
The greatest common divisor of numbers 960, 560, 431, 199 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 560, 431, 199 is 1.

1. What is the GCD of 960, 560, 431, 199?

GCD of given numbers 960, 560, 431, 199 is 1

2. How to calculate the greatest common divisor of 960, 560, 431, 199?

We can find the highest common divisor of 960, 560, 431, 199 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, 560, 431, 199 i.e 1.

3. How can I use the GCD of 960, 560, 431, 199Calculator?

Out the numbers 960, 560, 431, 199 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.