Online GCD Calculator is useful to find the GCD of 220, 242, 266, 868 quickly. Get the easiest ways to solve the greatest common divisor of 220, 242, 266, 868 i.e 2 in different methods as follows.
Given Input numbers are 220, 242, 266, 868
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 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 266 :
The positive integer divisors of 266 that completely divides 266 are.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
GCD of numbers is the greatest common divisor
So, the GCD (220, 242, 266, 868) = 2.
Given numbers are 220, 242, 266, 868
The list of prime factors of all numbers are
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 242 are 2 x 11 x 11
Prime factors of 266 are 2 x 7 x 19
Prime factors of 868 are 2 x 2 x 7 x 31
The highest common occurrence is 21
Therefore, GCD of 220, 242, 266, 868 is 2.
Given numbers are 220, 242, 266, 868
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(220, 242) = 2420
GCD(220, 242) = ( 220 x 242 ) / 2420
= 220 / 242
= 220
Step2:
LCM(22, 266) = 2926
GCD(22, 266) = ( 22 x 266 ) / 2926
= 22 / 266
= 22
Step3:
LCM(2, 868) = 868
GCD(2, 868) = ( 2 x 868 ) / 868
= 2 / 868
= 2
So, Greatest Common Divisor of 220, 242, 266, 868 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 220, 242, 266, 868
The greatest common divisor of numbers 220, 242, 266, 868 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 242, 266, 868 is 2.
1. What is the GCD of 220, 242, 266, 868?
GCD of given numbers 220, 242, 266, 868 is 2
2. How to calculate the greatest common divisor of 220, 242, 266, 868?
We can find the highest common divisor of 220, 242, 266, 868 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, 242, 266, 868 i.e 2.
3. How can I use the GCD of 220, 242, 266, 868Calculator?
Out the numbers 220, 242, 266, 868 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.