GCD of 687, 390, 591, 141 Calculator

Given Input numbers are 687, 390, 591, 141

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

Divisors of 687 :

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

1, 3, 229, 687

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

GCD of numbers is the greatest common divisor

So, the GCD (687, 390, 591, 141) = 3.

Given numbers are 687, 390, 591, 141

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 591 are 3 x 197

Prime factors of 141 are 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 687, 390, 591, 141 is 3.

Given numbers are 687, 390, 591, 141

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

Apply this formula for all numbers.

Step1:

LCM(687, 390) = 89310

GCD(687, 390) = ( 687 x 390 ) / 89310

= 687 / 390

= 687

Step2:

LCM(3, 591) = 591

GCD(3, 591) = ( 3 x 591 ) / 591

= 3 / 591

= 3

Step3:

LCM(3, 141) = 141

GCD(3, 141) = ( 3 x 141 ) / 141

= 3 / 141

= 3

So, Greatest Common Divisor of 687, 390, 591, 141 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 903, 307, 485, 235
• GCD of 461, 989, 548, 922
• GCD of 742, 391, 605, 219
• GCD of 563, 582, 905, 816
• GCD of 787, 916, 186, 874

Given numbers are 687, 390, 591, 141
The greatest common divisor of numbers 687, 390, 591, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 390, 591, 141 is 3.

1. What is the GCD of 687, 390, 591, 141?

GCD of given numbers 687, 390, 591, 141 is 3

2. How to calculate the greatest common divisor of 687, 390, 591, 141?

We can find the highest common divisor of 687, 390, 591, 141 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 687, 390, 591, 141 i.e 3.

3. How can I use the GCD of 687, 390, 591, 141Calculator?

Out the numbers 687, 390, 591, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.