GCD of 686, 132, 540, 189 Calculator

Given Input numbers are 686, 132, 540, 189

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (686, 132, 540, 189) = 1.

Given numbers are 686, 132, 540, 189

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 189 are 3 x 3 x 3 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 686, 132, 540, 189

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

Apply this formula for all numbers.

Step1:

LCM(686, 132) = 45276

GCD(686, 132) = ( 686 x 132 ) / 45276

= 686 / 132

= 686

Step2:

LCM(2, 540) = 540

GCD(2, 540) = ( 2 x 540 ) / 540

= 2 / 540

= 2

Step3:

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

= 2 / 189

= 2

So, Greatest Common Divisor of 686, 132, 540, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 789, 308, 862
• GCD of 372, 469, 975, 110
• GCD of 371, 986, 110, 895
• GCD of 599, 131, 205, 501
• GCD of 788, 833, 468, 277

Given numbers are 686, 132, 540, 189
The greatest common divisor of numbers 686, 132, 540, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 132, 540, 189 is 1.

1. What is the GCD of 686, 132, 540, 189?

GCD of given numbers 686, 132, 540, 189 is 1

2. How to calculate the greatest common divisor of 686, 132, 540, 189?

We can find the highest common divisor of 686, 132, 540, 189 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 686, 132, 540, 189 i.e 1.

3. How can I use the GCD of 686, 132, 540, 189Calculator?

Out the numbers 686, 132, 540, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.