GCD of 917, 189, 882, 687 Calculator

Given Input numbers are 917, 189, 882, 687

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

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

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 (917, 189, 882, 687) = 1.

Given numbers are 917, 189, 882, 687

The list of prime factors of all numbers are

Prime factors of 917 are 7 x 131

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

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 917, 189, 882, 687

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

Apply this formula for all numbers.

Step1:

LCM(917, 189) = 24759

GCD(917, 189) = ( 917 x 189 ) / 24759

= 917 / 189

= 917

Step2:

LCM(7, 882) = 882

GCD(7, 882) = ( 7 x 882 ) / 882

= 7 / 882

= 7

Step3:

LCM(7, 687) = 4809

GCD(7, 687) = ( 7 x 687 ) / 4809

= 7 / 687

= 7

So, Greatest Common Divisor of 917, 189, 882, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 754, 845, 852, 219
• GCD of 572, 903, 789, 582
• GCD of 318, 732, 715, 946
• GCD of 975, 260, 654, 198
• GCD of 988, 372, 687, 743

Given numbers are 917, 189, 882, 687
The greatest common divisor of numbers 917, 189, 882, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 917, 189, 882, 687 is 1.

1. What is the GCD of 917, 189, 882, 687?

GCD of given numbers 917, 189, 882, 687 is 1

2. How to calculate the greatest common divisor of 917, 189, 882, 687?

We can find the highest common divisor of 917, 189, 882, 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 917, 189, 882, 687 i.e 1.

3. How can I use the GCD of 917, 189, 882, 687Calculator?

Out the numbers 917, 189, 882, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.