Online GCD Calculator is useful to find the GCD of 678, 220, 892, 882 quickly. Get the easiest ways to solve the greatest common divisor of 678, 220, 892, 882 i.e 2 in different methods as follows.
Given Input numbers are 678, 220, 892, 882
In the factoring method, we have to find the divisors of all numbers
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
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 (678, 220, 892, 882) = 2.
Given numbers are 678, 220, 892, 882
The list of prime factors of all numbers are
Prime factors of 678 are 2 x 3 x 113
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 892 are 2 x 2 x 223
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 678, 220, 892, 882 is 2.
Given numbers are 678, 220, 892, 882
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(678, 220) = 74580
GCD(678, 220) = ( 678 x 220 ) / 74580
= 678 / 220
= 678
Step2:
LCM(2, 892) = 892
GCD(2, 892) = ( 2 x 892 ) / 892
= 2 / 892
= 2
Step3:
LCM(2, 882) = 882
GCD(2, 882) = ( 2 x 882 ) / 882
= 2 / 882
= 2
So, Greatest Common Divisor of 678, 220, 892, 882 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 678, 220, 892, 882
The greatest common divisor of numbers 678, 220, 892, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 220, 892, 882 is 2.
1. What is the GCD of 678, 220, 892, 882?
GCD of given numbers 678, 220, 892, 882 is 2
2. How to calculate the greatest common divisor of 678, 220, 892, 882?
We can find the highest common divisor of 678, 220, 892, 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 678, 220, 892, 882 i.e 2.
3. How can I use the GCD of 678, 220, 892, 882Calculator?
Out the numbers 678, 220, 892, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.