GCD of 556, 540, 814, 120 Calculator

Given Input numbers are 556, 540, 814, 120

In the factoring method, we have to find the divisors of all numbers

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

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

GCD of numbers is the greatest common divisor

So, the GCD (556, 540, 814, 120) = 2.

Given numbers are 556, 540, 814, 120

The list of prime factors of all numbers are

Prime factors of 556 are 2 x 2 x 139

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 814 are 2 x 11 x 37

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 556, 540, 814, 120 is 2.

Given numbers are 556, 540, 814, 120

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

Apply this formula for all numbers.

Step1:

LCM(556, 540) = 75060

GCD(556, 540) = ( 556 x 540 ) / 75060

= 556 / 540

= 556

Step2:

LCM(4, 814) = 1628

GCD(4, 814) = ( 4 x 814 ) / 1628

= 4 / 814

= 4

Step3:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

So, Greatest Common Divisor of 556, 540, 814, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 273, 853, 285
• GCD of 265, 667, 270, 595
• GCD of 649, 990, 397, 798
• GCD of 217, 958, 469, 744
• GCD of 421, 437, 123, 990

Given numbers are 556, 540, 814, 120
The greatest common divisor of numbers 556, 540, 814, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 556, 540, 814, 120 is 2.

1. What is the GCD of 556, 540, 814, 120?

GCD of given numbers 556, 540, 814, 120 is 2

2. How to calculate the greatest common divisor of 556, 540, 814, 120?

We can find the highest common divisor of 556, 540, 814, 120 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 556, 540, 814, 120 i.e 2.

3. How can I use the GCD of 556, 540, 814, 120Calculator?

Out the numbers 556, 540, 814, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.