GCD of 452, 108, 464, 270 Calculator

Given Input numbers are 452, 108, 464, 270

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

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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 (452, 108, 464, 270) = 2.

Given numbers are 452, 108, 464, 270

The list of prime factors of all numbers are

Prime factors of 452 are 2 x 2 x 113

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

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

The highest common occurrence is 2¹

Therefore, GCD of 452, 108, 464, 270 is 2.

Given numbers are 452, 108, 464, 270

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

Apply this formula for all numbers.

Step1:

LCM(452, 108) = 12204

GCD(452, 108) = ( 452 x 108 ) / 12204

= 452 / 108

= 452

Step2:

LCM(4, 464) = 464

GCD(4, 464) = ( 4 x 464 ) / 464

= 4 / 464

= 4

Step3:

LCM(4, 270) = 540

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

= 4 / 270

= 4

So, Greatest Common Divisor of 452, 108, 464, 270 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 310, 997, 767, 814
• GCD of 580, 997, 290, 582
• GCD of 262, 419, 924, 477
• GCD of 450, 693, 193, 351
• GCD of 216, 993, 976, 923

Given numbers are 452, 108, 464, 270
The greatest common divisor of numbers 452, 108, 464, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 452, 108, 464, 270 is 2.

1. What is the GCD of 452, 108, 464, 270?

GCD of given numbers 452, 108, 464, 270 is 2

2. How to calculate the greatest common divisor of 452, 108, 464, 270?

We can find the highest common divisor of 452, 108, 464, 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 452, 108, 464, 270 i.e 2.

3. How can I use the GCD of 452, 108, 464, 270Calculator?

Out the numbers 452, 108, 464, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.