GCD of 852, 431, 408, 270 Calculator

Given Input numbers are 852, 431, 408, 270

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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 (852, 431, 408, 270) = 1.

Given numbers are 852, 431, 408, 270

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 431 are 431

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 852, 431, 408, 270

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

Apply this formula for all numbers.

Step1:

LCM(852, 431) = 367212

GCD(852, 431) = ( 852 x 431 ) / 367212

= 852 / 431

= 852

Step2:

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

= 1 / 408

= 1

Step3:

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

= 1 / 270

= 1

So, Greatest Common Divisor of 852, 431, 408, 270 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 664, 934, 785, 877
• GCD of 851, 600, 900, 313
• GCD of 604, 736, 495, 662
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Given numbers are 852, 431, 408, 270
The greatest common divisor of numbers 852, 431, 408, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 431, 408, 270 is 1.

1. What is the GCD of 852, 431, 408, 270?

GCD of given numbers 852, 431, 408, 270 is 1

2. How to calculate the greatest common divisor of 852, 431, 408, 270?

We can find the highest common divisor of 852, 431, 408, 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 852, 431, 408, 270 i.e 1.

3. How can I use the GCD of 852, 431, 408, 270Calculator?

Out the numbers 852, 431, 408, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.