GCD of 540, 964, 296, 270 Calculator

Given Input numbers are 540, 964, 296, 270

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 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

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

GCD of numbers is the greatest common divisor

So, the GCD (540, 964, 296, 270) = 2.

Given numbers are 540, 964, 296, 270

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 964 are 2 x 2 x 241

Prime factors of 296 are 2 x 2 x 2 x 37

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

The highest common occurrence is 2¹

Therefore, GCD of 540, 964, 296, 270 is 2.

Given numbers are 540, 964, 296, 270

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

Apply this formula for all numbers.

Step1:

LCM(540, 964) = 130140

GCD(540, 964) = ( 540 x 964 ) / 130140

= 540 / 964

= 540

Step2:

LCM(4, 296) = 296

GCD(4, 296) = ( 4 x 296 ) / 296

= 4 / 296

= 4

Step3:

LCM(4, 270) = 540

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

= 4 / 270

= 4

So, Greatest Common Divisor of 540, 964, 296, 270 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 894, 629, 841
• GCD of 657, 441, 550, 497
• GCD of 172, 684, 959, 731
• GCD of 661, 391, 840, 323
• GCD of 988, 327, 545, 707

Given numbers are 540, 964, 296, 270
The greatest common divisor of numbers 540, 964, 296, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 964, 296, 270 is 2.

1. What is the GCD of 540, 964, 296, 270?

GCD of given numbers 540, 964, 296, 270 is 2

2. How to calculate the greatest common divisor of 540, 964, 296, 270?

We can find the highest common divisor of 540, 964, 296, 270 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, 964, 296, 270 i.e 2.

3. How can I use the GCD of 540, 964, 296, 270Calculator?

Out the numbers 540, 964, 296, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.