GCD of 540, 170, 420, 684 Calculator

Given Input numbers are 540, 170, 420, 684

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

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 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (540, 170, 420, 684) = 2.

Given numbers are 540, 170, 420, 684

The list of prime factors of all numbers are

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

Prime factors of 170 are 2 x 5 x 17

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 540, 170, 420, 684 is 2.

Given numbers are 540, 170, 420, 684

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

Apply this formula for all numbers.

Step1:

LCM(540, 170) = 9180

GCD(540, 170) = ( 540 x 170 ) / 9180

= 540 / 170

= 540

Step2:

LCM(10, 420) = 420

GCD(10, 420) = ( 10 x 420 ) / 420

= 10 / 420

= 10

Step3:

LCM(10, 684) = 3420

GCD(10, 684) = ( 10 x 684 ) / 3420

= 10 / 684

= 10

So, Greatest Common Divisor of 540, 170, 420, 684 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 786, 569, 255, 894
• GCD of 558, 881, 906, 300
• GCD of 813, 923, 132, 962
• GCD of 209, 882, 608, 120
• GCD of 643, 335, 161, 765

Given numbers are 540, 170, 420, 684
The greatest common divisor of numbers 540, 170, 420, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 170, 420, 684 is 2.

1. What is the GCD of 540, 170, 420, 684?

GCD of given numbers 540, 170, 420, 684 is 2

2. How to calculate the greatest common divisor of 540, 170, 420, 684?

We can find the highest common divisor of 540, 170, 420, 684 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 540, 170, 420, 684 i.e 2.

3. How can I use the GCD of 540, 170, 420, 684Calculator?

Out the numbers 540, 170, 420, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.