Online GCD Calculator is useful to find the GCD of 882, 423, 987, 564 quickly. Get the easiest ways to solve the greatest common divisor of 882, 423, 987, 564 i.e 3 in different methods as follows.
Given Input numbers are 882, 423, 987, 564
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 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD of numbers is the greatest common divisor
So, the GCD (882, 423, 987, 564) = 3.
Given numbers are 882, 423, 987, 564
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 423 are 3 x 3 x 47
Prime factors of 987 are 3 x 7 x 47
Prime factors of 564 are 2 x 2 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 882, 423, 987, 564 is 3.
Given numbers are 882, 423, 987, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(882, 423) = 41454
GCD(882, 423) = ( 882 x 423 ) / 41454
= 882 / 423
= 882
Step2:
LCM(9, 987) = 2961
GCD(9, 987) = ( 9 x 987 ) / 2961
= 9 / 987
= 9
Step3:
LCM(3, 564) = 564
GCD(3, 564) = ( 3 x 564 ) / 564
= 3 / 564
= 3
So, Greatest Common Divisor of 882, 423, 987, 564 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 882, 423, 987, 564
The greatest common divisor of numbers 882, 423, 987, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 423, 987, 564 is 3.
1. What is the GCD of 882, 423, 987, 564?
GCD of given numbers 882, 423, 987, 564 is 3
2. How to calculate the greatest common divisor of 882, 423, 987, 564?
We can find the highest common divisor of 882, 423, 987, 564 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, 423, 987, 564 i.e 3.
3. How can I use the GCD of 882, 423, 987, 564Calculator?
Out the numbers 882, 423, 987, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.