GCD of 684, 394, 494, 146 Calculator

Given Input numbers are 684, 394, 494, 146

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 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

GCD of numbers is the greatest common divisor

So, the GCD (684, 394, 494, 146) = 2.

Given numbers are 684, 394, 494, 146

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 394 are 2 x 197

Prime factors of 494 are 2 x 13 x 19

Prime factors of 146 are 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 684, 394, 494, 146 is 2.

Given numbers are 684, 394, 494, 146

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

Apply this formula for all numbers.

Step1:

LCM(684, 394) = 134748

GCD(684, 394) = ( 684 x 394 ) / 134748

= 684 / 394

= 684

Step2:

LCM(2, 494) = 494

GCD(2, 494) = ( 2 x 494 ) / 494

= 2 / 494

= 2

Step3:

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

= 2 / 146

= 2

So, Greatest Common Divisor of 684, 394, 494, 146 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 467, 877, 837
• GCD of 267, 134, 921, 374
• GCD of 238, 938, 114, 546
• GCD of 866, 166, 760, 180
• GCD of 513, 938, 207, 851

Given numbers are 684, 394, 494, 146
The greatest common divisor of numbers 684, 394, 494, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 394, 494, 146 is 2.

1. What is the GCD of 684, 394, 494, 146?

GCD of given numbers 684, 394, 494, 146 is 2

2. How to calculate the greatest common divisor of 684, 394, 494, 146?

We can find the highest common divisor of 684, 394, 494, 146 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, 394, 494, 146 i.e 2.

3. How can I use the GCD of 684, 394, 494, 146Calculator?

Out the numbers 684, 394, 494, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.