GCD of 536, 540, 270, 342 Calculator

Given Input numbers are 536, 540, 270, 342

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

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

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 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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (536, 540, 270, 342) = 2.

Given numbers are 536, 540, 270, 342

The list of prime factors of all numbers are

Prime factors of 536 are 2 x 2 x 2 x 67

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

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

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 536, 540, 270, 342 is 2.

Given numbers are 536, 540, 270, 342

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

Apply this formula for all numbers.

Step1:

LCM(536, 540) = 72360

GCD(536, 540) = ( 536 x 540 ) / 72360

= 536 / 540

= 536

Step2:

LCM(4, 270) = 540

GCD(4, 270) = ( 4 x 270 ) / 540

= 4 / 270

= 4

Step3:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

So, Greatest Common Divisor of 536, 540, 270, 342 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 454, 528, 589, 606
• GCD of 196, 691, 616, 212
• GCD of 531, 469, 474, 608
• GCD of 630, 838, 881, 792
• GCD of 527, 645, 796, 614

Given numbers are 536, 540, 270, 342
The greatest common divisor of numbers 536, 540, 270, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 540, 270, 342 is 2.

1. What is the GCD of 536, 540, 270, 342?

GCD of given numbers 536, 540, 270, 342 is 2

2. How to calculate the greatest common divisor of 536, 540, 270, 342?

We can find the highest common divisor of 536, 540, 270, 342 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 536, 540, 270, 342 i.e 2.

3. How can I use the GCD of 536, 540, 270, 342Calculator?

Out the numbers 536, 540, 270, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.