GCD of 882, 102, 561, 108 Calculator

Given Input numbers are 882, 102, 561, 108

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

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 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (882, 102, 561, 108) = 3.

Given numbers are 882, 102, 561, 108

The list of prime factors of all numbers are

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

Prime factors of 102 are 2 x 3 x 17

Prime factors of 561 are 3 x 11 x 17

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 882, 102, 561, 108 is 3.

Given numbers are 882, 102, 561, 108

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

Apply this formula for all numbers.

Step1:

LCM(882, 102) = 14994

GCD(882, 102) = ( 882 x 102 ) / 14994

= 882 / 102

= 882

Step2:

LCM(6, 561) = 1122

GCD(6, 561) = ( 6 x 561 ) / 1122

= 6 / 561

= 6

Step3:

LCM(3, 108) = 108

GCD(3, 108) = ( 3 x 108 ) / 108

= 3 / 108

= 3

So, Greatest Common Divisor of 882, 102, 561, 108 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 996, 931, 936
• GCD of 815, 145, 147, 163
• GCD of 532, 653, 802, 405
• GCD of 470, 710, 751, 666
• GCD of 716, 446, 575, 201

Given numbers are 882, 102, 561, 108
The greatest common divisor of numbers 882, 102, 561, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 102, 561, 108 is 3.

1. What is the GCD of 882, 102, 561, 108?

GCD of given numbers 882, 102, 561, 108 is 3

2. How to calculate the greatest common divisor of 882, 102, 561, 108?

We can find the highest common divisor of 882, 102, 561, 108 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 882, 102, 561, 108 i.e 3.

3. How can I use the GCD of 882, 102, 561, 108Calculator?

Out the numbers 882, 102, 561, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.