GCD of 345, 809, 827, 852 Calculator

Given Input numbers are 345, 809, 827, 852

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 809 :

The positive integer divisors of 809 that completely divides 809 are.

1, 809

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

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

GCD of numbers is the greatest common divisor

So, the GCD (345, 809, 827, 852) = 1.

Given numbers are 345, 809, 827, 852

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 809 are 809

Prime factors of 827 are 827

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

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

Given numbers are 345, 809, 827, 852

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

Apply this formula for all numbers.

Step1:

LCM(345, 809) = 279105

GCD(345, 809) = ( 345 x 809 ) / 279105

= 345 / 809

= 345

Step2:

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

= 1 / 827

= 1

Step3:

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

= 1 / 852

= 1

So, Greatest Common Divisor of 345, 809, 827, 852 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 199, 321, 545
• GCD of 392, 348, 360, 505
• GCD of 136, 438, 893, 762
• GCD of 814, 502, 145, 997
• GCD of 265, 377, 118, 795

Given numbers are 345, 809, 827, 852
The greatest common divisor of numbers 345, 809, 827, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 809, 827, 852 is 1.

1. What is the GCD of 345, 809, 827, 852?

GCD of given numbers 345, 809, 827, 852 is 1

2. How to calculate the greatest common divisor of 345, 809, 827, 852?

We can find the highest common divisor of 345, 809, 827, 852 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 345, 809, 827, 852 i.e 1.

3. How can I use the GCD of 345, 809, 827, 852Calculator?

Out the numbers 345, 809, 827, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.