GCD of 684, 393, 942, 687 Calculator

Given Input numbers are 684, 393, 942, 687

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (684, 393, 942, 687) = 3.

Given numbers are 684, 393, 942, 687

The list of prime factors of all numbers are

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 393 are 3 x 131

Prime factors of 942 are 2 x 3 x 157

Prime factors of 687 are 3 x 229

The highest common occurrence is 3¹

Therefore, GCD of 684, 393, 942, 687 is 3.

Given numbers are 684, 393, 942, 687

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

Apply this formula for all numbers.

Step1:

LCM(684, 393) = 89604

GCD(684, 393) = ( 684 x 393 ) / 89604

= 684 / 393

= 684

Step2:

LCM(3, 942) = 942

GCD(3, 942) = ( 3 x 942 ) / 942

= 3 / 942

= 3

Step3:

LCM(3, 687) = 687

GCD(3, 687) = ( 3 x 687 ) / 687

= 3 / 687

= 3

So, Greatest Common Divisor of 684, 393, 942, 687 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 480, 798, 387, 661
• GCD of 235, 904, 140, 236
• GCD of 162, 498, 820, 599
• GCD of 454, 621, 667, 202
• GCD of 475, 192, 304, 628

Given numbers are 684, 393, 942, 687
The greatest common divisor of numbers 684, 393, 942, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 393, 942, 687 is 3.

1. What is the GCD of 684, 393, 942, 687?

GCD of given numbers 684, 393, 942, 687 is 3

2. How to calculate the greatest common divisor of 684, 393, 942, 687?

We can find the highest common divisor of 684, 393, 942, 687 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 684, 393, 942, 687 i.e 3.

3. How can I use the GCD of 684, 393, 942, 687Calculator?

Out the numbers 684, 393, 942, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.