Online GCD Calculator is useful to find the GCD of 220, 340, 568, 162 quickly. Get the easiest ways to solve the greatest common divisor of 220, 340, 568, 162 i.e 2 in different methods as follows.
Given Input numbers are 220, 340, 568, 162
In the factoring method, we have to find the divisors of all numbers
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 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 568 :
The positive integer divisors of 568 that completely divides 568 are.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
GCD of numbers is the greatest common divisor
So, the GCD (220, 340, 568, 162) = 2.
Given numbers are 220, 340, 568, 162
The list of prime factors of all numbers are
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 568 are 2 x 2 x 2 x 71
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 220, 340, 568, 162 is 2.
Given numbers are 220, 340, 568, 162
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(220, 340) = 3740
GCD(220, 340) = ( 220 x 340 ) / 3740
= 220 / 340
= 220
Step2:
LCM(20, 568) = 2840
GCD(20, 568) = ( 20 x 568 ) / 2840
= 20 / 568
= 20
Step3:
LCM(4, 162) = 324
GCD(4, 162) = ( 4 x 162 ) / 324
= 4 / 162
= 4
So, Greatest Common Divisor of 220, 340, 568, 162 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 220, 340, 568, 162
The greatest common divisor of numbers 220, 340, 568, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 340, 568, 162 is 2.
1. What is the GCD of 220, 340, 568, 162?
GCD of given numbers 220, 340, 568, 162 is 2
2. How to calculate the greatest common divisor of 220, 340, 568, 162?
We can find the highest common divisor of 220, 340, 568, 162 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 220, 340, 568, 162 i.e 2.
3. How can I use the GCD of 220, 340, 568, 162Calculator?
Out the numbers 220, 340, 568, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.