GCD of 141, 687, 585, 507 Calculator

Given Input numbers are 141, 687, 585, 507

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

Divisors of 141 :

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

1, 3, 47, 141

Divisors of 687 :

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

1, 3, 229, 687

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

GCD of numbers is the greatest common divisor

So, the GCD (141, 687, 585, 507) = 3.

Given numbers are 141, 687, 585, 507

The list of prime factors of all numbers are

Prime factors of 141 are 3 x 47

Prime factors of 687 are 3 x 229

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 507 are 3 x 13 x 13

The highest common occurrence is 3¹

Therefore, GCD of 141, 687, 585, 507 is 3.

Given numbers are 141, 687, 585, 507

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

Apply this formula for all numbers.

Step1:

LCM(141, 687) = 32289

GCD(141, 687) = ( 141 x 687 ) / 32289

= 141 / 687

= 141

Step2:

LCM(3, 585) = 585

GCD(3, 585) = ( 3 x 585 ) / 585

= 3 / 585

= 3

Step3:

LCM(3, 507) = 507

GCD(3, 507) = ( 3 x 507 ) / 507

= 3 / 507

= 3

So, Greatest Common Divisor of 141, 687, 585, 507 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 529, 183, 742
• GCD of 607, 488, 950, 388
• GCD of 790, 237, 223, 577
• GCD of 160, 223, 855, 388
• GCD of 314, 897, 878, 533

Given numbers are 141, 687, 585, 507
The greatest common divisor of numbers 141, 687, 585, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 141, 687, 585, 507 is 3.

1. What is the GCD of 141, 687, 585, 507?

GCD of given numbers 141, 687, 585, 507 is 3

2. How to calculate the greatest common divisor of 141, 687, 585, 507?

We can find the highest common divisor of 141, 687, 585, 507 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 141, 687, 585, 507 i.e 3.

3. How can I use the GCD of 141, 687, 585, 507Calculator?

Out the numbers 141, 687, 585, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.