GCD of 687, 500, 361, 977 Calculator

Given Input numbers are 687, 500, 361, 977

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 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

GCD of numbers is the greatest common divisor

So, the GCD (687, 500, 361, 977) = 1.

Given numbers are 687, 500, 361, 977

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 361 are 19 x 19

Prime factors of 977 are 977

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

Given numbers are 687, 500, 361, 977

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

Apply this formula for all numbers.

Step1:

LCM(687, 500) = 343500

GCD(687, 500) = ( 687 x 500 ) / 343500

= 687 / 500

= 687

Step2:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1

Step3:

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

= 1 / 977

= 1

So, Greatest Common Divisor of 687, 500, 361, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 917, 348, 832
• GCD of 660, 322, 628, 775
• GCD of 860, 632, 307, 431
• GCD of 324, 622, 852, 414
• GCD of 383, 960, 359, 506

Given numbers are 687, 500, 361, 977
The greatest common divisor of numbers 687, 500, 361, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 500, 361, 977 is 1.

1. What is the GCD of 687, 500, 361, 977?

GCD of given numbers 687, 500, 361, 977 is 1

2. How to calculate the greatest common divisor of 687, 500, 361, 977?

We can find the highest common divisor of 687, 500, 361, 977 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, 500, 361, 977 i.e 1.

3. How can I use the GCD of 687, 500, 361, 977Calculator?

Out the numbers 687, 500, 361, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.