GCD of 873, 420, 186 Calculator

Given Input numbers are 873, 420, 186

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

Divisors of 873 :

The positive integer divisors of 873 that completely divides 873 are.

1, 3, 9, 97, 291, 873

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 186 :

The positive integer divisors of 186 that completely divides 186 are.

1, 2, 3, 6, 31, 62, 93, 186

GCD of numbers is the greatest common divisor

So, the GCD (873, 420, 186) = 3.

Given numbers are 873, 420, 186

The list of prime factors of all numbers are

Prime factors of 873 are 3 x 3 x 97

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 186 are 2 x 3 x 31

The highest common occurrence is 3¹

Therefore, GCD of 873, 420, 186 is 3.

Given numbers are 873, 420, 186

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

Apply this formula for all numbers.

Step1:

LCM(873, 420) = 122220

GCD(873, 420) = ( 873 x 420 ) / 122220

= 873 / 420

= 873

Step2:

LCM(3, 186) = 186

GCD(3, 186) = ( 3 x 186 ) / 186

= 3 / 186

= 3

So, Greatest Common Divisor of 873, 420, 186 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 452, 312, 930
• GCD of 848, 949, 257
• GCD of 575, 711, 708
• GCD of 780, 217, 337
• GCD of 327, 241, 785

Given numbers are 873, 420, 186
The greatest common divisor of numbers 873, 420, 186 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 873, 420, 186 is 3.

1. What is the GCD of 873, 420, 186?

GCD of given numbers 873, 420, 186 is 3

2. How to calculate the greatest common divisor of 873, 420, 186?

We can find the highest common divisor of 873, 420, 186 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 873, 420, 186 i.e 3.

3. How can I use the GCD of 873, 420, 186Calculator?

Out the numbers 873, 420, 186 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.