GCD of 872, 108, 843, 892 Calculator

Given Input numbers are 872, 108, 843, 892

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

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 843 :

The positive integer divisors of 843 that completely divides 843 are.

1, 3, 281, 843

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

GCD of numbers is the greatest common divisor

So, the GCD (872, 108, 843, 892) = 1.

Given numbers are 872, 108, 843, 892

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

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

Prime factors of 843 are 3 x 281

Prime factors of 892 are 2 x 2 x 223

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

Given numbers are 872, 108, 843, 892

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

Apply this formula for all numbers.

Step1:

LCM(872, 108) = 23544

GCD(872, 108) = ( 872 x 108 ) / 23544

= 872 / 108

= 872

Step2:

LCM(4, 843) = 3372

GCD(4, 843) = ( 4 x 843 ) / 3372

= 4 / 843

= 4

Step3:

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

= 1 / 892

= 1

So, Greatest Common Divisor of 872, 108, 843, 892 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 524, 642, 759, 876
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Given numbers are 872, 108, 843, 892
The greatest common divisor of numbers 872, 108, 843, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 108, 843, 892 is 1.

1. What is the GCD of 872, 108, 843, 892?

GCD of given numbers 872, 108, 843, 892 is 1

2. How to calculate the greatest common divisor of 872, 108, 843, 892?

We can find the highest common divisor of 872, 108, 843, 892 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 872, 108, 843, 892 i.e 1.

3. How can I use the GCD of 872, 108, 843, 892Calculator?

Out the numbers 872, 108, 843, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.