GCD of 270, 568, 984, 496 Calculator

Given Input numbers are 270, 568, 984, 496

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

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 568 :

The positive integer divisors of 568 that completely divides 568 are.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

GCD of numbers is the greatest common divisor

So, the GCD (270, 568, 984, 496) = 2.

Given numbers are 270, 568, 984, 496

The list of prime factors of all numbers are

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

Prime factors of 568 are 2 x 2 x 2 x 71

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 270, 568, 984, 496 is 2.

Given numbers are 270, 568, 984, 496

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

Apply this formula for all numbers.

Step1:

LCM(270, 568) = 76680

GCD(270, 568) = ( 270 x 568 ) / 76680

= 270 / 568

= 270

Step2:

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

= 2 / 984

= 2

Step3:

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

= 2 / 496

= 2

So, Greatest Common Divisor of 270, 568, 984, 496 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 853, 612, 910, 593
• GCD of 913, 426, 215, 324
• GCD of 149, 760, 534, 368
• GCD of 350, 373, 765, 586
• GCD of 650, 754, 898, 496

Given numbers are 270, 568, 984, 496
The greatest common divisor of numbers 270, 568, 984, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 568, 984, 496 is 2.

1. What is the GCD of 270, 568, 984, 496?

GCD of given numbers 270, 568, 984, 496 is 2

2. How to calculate the greatest common divisor of 270, 568, 984, 496?

We can find the highest common divisor of 270, 568, 984, 496 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 270, 568, 984, 496 i.e 2.

3. How can I use the GCD of 270, 568, 984, 496Calculator?

Out the numbers 270, 568, 984, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.