GCD of 993, 234, 186, 840 Calculator

Given Input numbers are 993, 234, 186, 840

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

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 186 :

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

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

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

GCD of numbers is the greatest common divisor

So, the GCD (993, 234, 186, 840) = 3.

Given numbers are 993, 234, 186, 840

The list of prime factors of all numbers are

Prime factors of 993 are 3 x 331

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 186 are 2 x 3 x 31

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 993, 234, 186, 840 is 3.

Given numbers are 993, 234, 186, 840

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

Apply this formula for all numbers.

Step1:

LCM(993, 234) = 77454

GCD(993, 234) = ( 993 x 234 ) / 77454

= 993 / 234

= 993

Step2:

LCM(3, 186) = 186

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

= 3 / 186

= 3

Step3:

LCM(3, 840) = 840

GCD(3, 840) = ( 3 x 840 ) / 840

= 3 / 840

= 3

So, Greatest Common Divisor of 993, 234, 186, 840 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 109, 429, 827
• GCD of 927, 725, 637, 158
• GCD of 688, 957, 124, 750
• GCD of 626, 628, 904, 981
• GCD of 377, 797, 432, 526

Given numbers are 993, 234, 186, 840
The greatest common divisor of numbers 993, 234, 186, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 234, 186, 840 is 3.

1. What is the GCD of 993, 234, 186, 840?

GCD of given numbers 993, 234, 186, 840 is 3

2. How to calculate the greatest common divisor of 993, 234, 186, 840?

We can find the highest common divisor of 993, 234, 186, 840 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 993, 234, 186, 840 i.e 3.

3. How can I use the GCD of 993, 234, 186, 840Calculator?

Out the numbers 993, 234, 186, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.