GCD of 120, 896, 842, 559 Calculator

Given Input numbers are 120, 896, 842, 559

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 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 559 :

The positive integer divisors of 559 that completely divides 559 are.

1, 13, 43, 559

GCD of numbers is the greatest common divisor

So, the GCD (120, 896, 842, 559) = 1.

Given numbers are 120, 896, 842, 559

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 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 842 are 2 x 421

Prime factors of 559 are 13 x 43

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

Given numbers are 120, 896, 842, 559

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

Apply this formula for all numbers.

Step1:

LCM(120, 896) = 13440

GCD(120, 896) = ( 120 x 896 ) / 13440

= 120 / 896

= 120

Step2:

LCM(8, 842) = 3368

GCD(8, 842) = ( 8 x 842 ) / 3368

= 8 / 842

= 8

Step3:

LCM(2, 559) = 1118

GCD(2, 559) = ( 2 x 559 ) / 1118

= 2 / 559

= 2

So, Greatest Common Divisor of 120, 896, 842, 559 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 688, 316, 864, 790
• GCD of 323, 654, 847, 998
• GCD of 235, 105, 893, 369
• GCD of 174, 644, 327, 714
• GCD of 495, 728, 728, 826

Given numbers are 120, 896, 842, 559
The greatest common divisor of numbers 120, 896, 842, 559 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 896, 842, 559 is 1.

1. What is the GCD of 120, 896, 842, 559?

GCD of given numbers 120, 896, 842, 559 is 1

2. How to calculate the greatest common divisor of 120, 896, 842, 559?

We can find the highest common divisor of 120, 896, 842, 559 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, 896, 842, 559 i.e 1.

3. How can I use the GCD of 120, 896, 842, 559Calculator?

Out the numbers 120, 896, 842, 559 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.