GCD of 561, 678, 882 Calculator

Given Input numbers are 561, 678, 882

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

Divisors of 561 :

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

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

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

GCD of numbers is the greatest common divisor

So, the GCD (561, 678, 882) = 3.

Given numbers are 561, 678, 882

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 678 are 2 x 3 x 113

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

The highest common occurrence is 3¹

Therefore, GCD of 561, 678, 882 is 3.

Given numbers are 561, 678, 882

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

Apply this formula for all numbers.

Step1:

LCM(561, 678) = 126786

GCD(561, 678) = ( 561 x 678 ) / 126786

= 561 / 678

= 561

Step2:

LCM(3, 882) = 882

GCD(3, 882) = ( 3 x 882 ) / 882

= 3 / 882

= 3

So, Greatest Common Divisor of 561, 678, 882 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 678, 956, 228
• GCD of 637, 535, 555
• GCD of 319, 387, 403
• GCD of 703, 855, 277
• GCD of 467, 698, 844

Given numbers are 561, 678, 882
The greatest common divisor of numbers 561, 678, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 678, 882 is 3.

1. What is the GCD of 561, 678, 882?

GCD of given numbers 561, 678, 882 is 3

2. How to calculate the greatest common divisor of 561, 678, 882?

We can find the highest common divisor of 561, 678, 882 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 561, 678, 882 i.e 3.

3. How can I use the GCD of 561, 678, 882Calculator?

Out the numbers 561, 678, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.