GCD of 891, 825, 314, 687 Calculator

Given Input numbers are 891, 825, 314, 687

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

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 687 :

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

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (891, 825, 314, 687) = 1.

Given numbers are 891, 825, 314, 687

The list of prime factors of all numbers are

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 314 are 2 x 157

Prime factors of 687 are 3 x 229

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

Given numbers are 891, 825, 314, 687

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

Apply this formula for all numbers.

Step1:

LCM(891, 825) = 22275

GCD(891, 825) = ( 891 x 825 ) / 22275

= 891 / 825

= 891

Step2:

LCM(33, 314) = 10362

GCD(33, 314) = ( 33 x 314 ) / 10362

= 33 / 314

= 33

Step3:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1

So, Greatest Common Divisor of 891, 825, 314, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 509, 648, 324, 816
• GCD of 819, 777, 528, 315
• GCD of 276, 651, 100, 890
• GCD of 256, 510, 391, 399
• GCD of 146, 330, 925, 735

Given numbers are 891, 825, 314, 687
The greatest common divisor of numbers 891, 825, 314, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 825, 314, 687 is 1.

1. What is the GCD of 891, 825, 314, 687?

GCD of given numbers 891, 825, 314, 687 is 1

2. How to calculate the greatest common divisor of 891, 825, 314, 687?

We can find the highest common divisor of 891, 825, 314, 687 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 891, 825, 314, 687 i.e 1.

3. How can I use the GCD of 891, 825, 314, 687Calculator?

Out the numbers 891, 825, 314, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.