GCD of 120, 513, 270, 550 Calculator

Given Input numbers are 120, 513, 270, 550

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 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

GCD of numbers is the greatest common divisor

So, the GCD (120, 513, 270, 550) = 1.

Given numbers are 120, 513, 270, 550

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 513 are 3 x 3 x 3 x 19

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 550 are 2 x 5 x 5 x 11

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

Given numbers are 120, 513, 270, 550

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

Apply this formula for all numbers.

Step1:

LCM(120, 513) = 20520

GCD(120, 513) = ( 120 x 513 ) / 20520

= 120 / 513

= 120

Step2:

LCM(3, 270) = 270

GCD(3, 270) = ( 3 x 270 ) / 270

= 3 / 270

= 3

Step3:

LCM(3, 550) = 1650

GCD(3, 550) = ( 3 x 550 ) / 1650

= 3 / 550

= 3

So, Greatest Common Divisor of 120, 513, 270, 550 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 733, 848, 782, 408
• GCD of 645, 756, 358, 305
• GCD of 506, 604, 469, 935
• GCD of 740, 241, 608, 682
• GCD of 970, 612, 837, 704

Given numbers are 120, 513, 270, 550
The greatest common divisor of numbers 120, 513, 270, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 513, 270, 550 is 1.

1. What is the GCD of 120, 513, 270, 550?

GCD of given numbers 120, 513, 270, 550 is 1

2. How to calculate the greatest common divisor of 120, 513, 270, 550?

We can find the highest common divisor of 120, 513, 270, 550 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, 513, 270, 550 i.e 1.

3. How can I use the GCD of 120, 513, 270, 550Calculator?

Out the numbers 120, 513, 270, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.