GCD of 687, 472, 728, 906 Calculator

Given Input numbers are 687, 472, 728, 906

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 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

GCD of numbers is the greatest common divisor

So, the GCD (687, 472, 728, 906) = 1.

Given numbers are 687, 472, 728, 906

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 906 are 2 x 3 x 151

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

Given numbers are 687, 472, 728, 906

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

Apply this formula for all numbers.

Step1:

LCM(687, 472) = 324264

GCD(687, 472) = ( 687 x 472 ) / 324264

= 687 / 472

= 687

Step2:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

Step3:

LCM(1, 906) = 906

GCD(1, 906) = ( 1 x 906 ) / 906

= 1 / 906

= 1

So, Greatest Common Divisor of 687, 472, 728, 906 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 382, 942, 128
• GCD of 367, 930, 958, 235
• GCD of 799, 740, 441, 926
• GCD of 994, 130, 623, 576
• GCD of 830, 176, 458, 598

Given numbers are 687, 472, 728, 906
The greatest common divisor of numbers 687, 472, 728, 906 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 472, 728, 906 is 1.

1. What is the GCD of 687, 472, 728, 906?

GCD of given numbers 687, 472, 728, 906 is 1

2. How to calculate the greatest common divisor of 687, 472, 728, 906?

We can find the highest common divisor of 687, 472, 728, 906 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, 472, 728, 906 i.e 1.

3. How can I use the GCD of 687, 472, 728, 906Calculator?

Out the numbers 687, 472, 728, 906 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.