GCD of 120, 559, 72, 742 Calculator

Given Input numbers are 120, 559, 72, 742

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 559 :

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

1, 13, 43, 559

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (120, 559, 72, 742) = 1.

Given numbers are 120, 559, 72, 742

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 559 are 13 x 43

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 120, 559, 72, 742

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

Apply this formula for all numbers.

Step1:

LCM(120, 559) = 67080

GCD(120, 559) = ( 120 x 559 ) / 67080

= 120 / 559

= 120

Step2:

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

= 1 / 72

= 1

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 120, 559, 72, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 204, 30, 432
• GCD of 430, 908, 94, 349
• GCD of 566, 435, 22, 447
• GCD of 651, 922, 96, 304
• GCD of 655, 930, 24, 700

Given numbers are 120, 559, 72, 742
The greatest common divisor of numbers 120, 559, 72, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 559, 72, 742 is 1.

1. What is the GCD of 120, 559, 72, 742?

GCD of given numbers 120, 559, 72, 742 is 1

2. How to calculate the greatest common divisor of 120, 559, 72, 742?

We can find the highest common divisor of 120, 559, 72, 742 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, 559, 72, 742 i.e 1.

3. How can I use the GCD of 120, 559, 72, 742Calculator?

Out the numbers 120, 559, 72, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.