GCD of 687, 747, 138, 782 Calculator

Given Input numbers are 687, 747, 138, 782

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 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

GCD of numbers is the greatest common divisor

So, the GCD (687, 747, 138, 782) = 1.

Given numbers are 687, 747, 138, 782

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 747 are 3 x 3 x 83

Prime factors of 138 are 2 x 3 x 23

Prime factors of 782 are 2 x 17 x 23

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

Given numbers are 687, 747, 138, 782

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

Apply this formula for all numbers.

Step1:

LCM(687, 747) = 171063

GCD(687, 747) = ( 687 x 747 ) / 171063

= 687 / 747

= 687

Step2:

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

= 3 / 138

= 3

Step3:

LCM(3, 782) = 2346

GCD(3, 782) = ( 3 x 782 ) / 2346

= 3 / 782

= 3

So, Greatest Common Divisor of 687, 747, 138, 782 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 779, 845, 355
• GCD of 416, 993, 481, 457
• GCD of 431, 746, 550, 828
• GCD of 593, 855, 258, 617
• GCD of 990, 683, 260, 925

Given numbers are 687, 747, 138, 782
The greatest common divisor of numbers 687, 747, 138, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 747, 138, 782 is 1.

1. What is the GCD of 687, 747, 138, 782?

GCD of given numbers 687, 747, 138, 782 is 1

2. How to calculate the greatest common divisor of 687, 747, 138, 782?

We can find the highest common divisor of 687, 747, 138, 782 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, 747, 138, 782 i.e 1.

3. How can I use the GCD of 687, 747, 138, 782Calculator?

Out the numbers 687, 747, 138, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.