GCD of 540, 392, 682, 162 Calculator

Given Input numbers are 540, 392, 682, 162

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 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (540, 392, 682, 162) = 2.

Given numbers are 540, 392, 682, 162

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 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 682 are 2 x 11 x 31

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 540, 392, 682, 162 is 2.

Given numbers are 540, 392, 682, 162

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

Apply this formula for all numbers.

Step1:

LCM(540, 392) = 52920

GCD(540, 392) = ( 540 x 392 ) / 52920

= 540 / 392

= 540

Step2:

LCM(4, 682) = 1364

GCD(4, 682) = ( 4 x 682 ) / 1364

= 4 / 682

= 4

Step3:

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

= 2 / 162

= 2

So, Greatest Common Divisor of 540, 392, 682, 162 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 471, 184, 276
• GCD of 524, 320, 605, 891
• GCD of 600, 359, 129, 294
• GCD of 703, 331, 396, 339
• GCD of 127, 947, 360, 834

Given numbers are 540, 392, 682, 162
The greatest common divisor of numbers 540, 392, 682, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 392, 682, 162 is 2.

1. What is the GCD of 540, 392, 682, 162?

GCD of given numbers 540, 392, 682, 162 is 2

2. How to calculate the greatest common divisor of 540, 392, 682, 162?

We can find the highest common divisor of 540, 392, 682, 162 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, 392, 682, 162 i.e 2.

3. How can I use the GCD of 540, 392, 682, 162Calculator?

Out the numbers 540, 392, 682, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.