GCD of 684, 642, 712, 172 Calculator

Given Input numbers are 684, 642, 712, 172

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 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (684, 642, 712, 172) = 2.

Given numbers are 684, 642, 712, 172

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 642 are 2 x 3 x 107

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 684, 642, 712, 172 is 2.

Given numbers are 684, 642, 712, 172

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

Apply this formula for all numbers.

Step1:

LCM(684, 642) = 73188

GCD(684, 642) = ( 684 x 642 ) / 73188

= 684 / 642

= 684

Step2:

LCM(6, 712) = 2136

GCD(6, 712) = ( 6 x 712 ) / 2136

= 6 / 712

= 6

Step3:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2

So, Greatest Common Divisor of 684, 642, 712, 172 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 525, 427, 402, 289
• GCD of 170, 287, 473, 570
• GCD of 681, 323, 734, 391
• GCD of 387, 896, 412, 414
• GCD of 801, 191, 845, 541

Given numbers are 684, 642, 712, 172
The greatest common divisor of numbers 684, 642, 712, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 642, 712, 172 is 2.

1. What is the GCD of 684, 642, 712, 172?

GCD of given numbers 684, 642, 712, 172 is 2

2. How to calculate the greatest common divisor of 684, 642, 712, 172?

We can find the highest common divisor of 684, 642, 712, 172 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, 642, 712, 172 i.e 2.

3. How can I use the GCD of 684, 642, 712, 172Calculator?

Out the numbers 684, 642, 712, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.