GCD of 120, 615, 144, 566 Calculator

Given Input numbers are 120, 615, 144, 566

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 615 :

The positive integer divisors of 615 that completely divides 615 are.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566

GCD of numbers is the greatest common divisor

So, the GCD (120, 615, 144, 566) = 1.

Given numbers are 120, 615, 144, 566

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 615 are 3 x 5 x 41

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 566 are 2 x 283

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

Given numbers are 120, 615, 144, 566

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

Apply this formula for all numbers.

Step1:

LCM(120, 615) = 4920

GCD(120, 615) = ( 120 x 615 ) / 4920

= 120 / 615

= 120

Step2:

LCM(15, 144) = 720

GCD(15, 144) = ( 15 x 144 ) / 720

= 15 / 144

= 15

Step3:

LCM(3, 566) = 1698

GCD(3, 566) = ( 3 x 566 ) / 1698

= 3 / 566

= 3

So, Greatest Common Divisor of 120, 615, 144, 566 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 906, 265, 827
• GCD of 980, 527, 866, 991
• GCD of 217, 275, 770, 758
• GCD of 557, 334, 814, 738
• GCD of 174, 135, 926, 629

Given numbers are 120, 615, 144, 566
The greatest common divisor of numbers 120, 615, 144, 566 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 615, 144, 566 is 1.

1. What is the GCD of 120, 615, 144, 566?

GCD of given numbers 120, 615, 144, 566 is 1

2. How to calculate the greatest common divisor of 120, 615, 144, 566?

We can find the highest common divisor of 120, 615, 144, 566 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, 615, 144, 566 i.e 1.

3. How can I use the GCD of 120, 615, 144, 566Calculator?

Out the numbers 120, 615, 144, 566 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.