Online GCD Calculator is useful to find the GCD of 220, 126, 552, 394 quickly. Get the easiest ways to solve the greatest common divisor of 220, 126, 552, 394 i.e 2 in different methods as follows.
Given Input numbers are 220, 126, 552, 394
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 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
GCD of numbers is the greatest common divisor
So, the GCD (220, 126, 552, 394) = 2.
Given numbers are 220, 126, 552, 394
The list of prime factors of all numbers are
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 394 are 2 x 197
The highest common occurrence is 21
Therefore, GCD of 220, 126, 552, 394 is 2.
Given numbers are 220, 126, 552, 394
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(220, 126) = 13860
GCD(220, 126) = ( 220 x 126 ) / 13860
= 220 / 126
= 220
Step2:
LCM(2, 552) = 552
GCD(2, 552) = ( 2 x 552 ) / 552
= 2 / 552
= 2
Step3:
LCM(2, 394) = 394
GCD(2, 394) = ( 2 x 394 ) / 394
= 2 / 394
= 2
So, Greatest Common Divisor of 220, 126, 552, 394 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 220, 126, 552, 394
The greatest common divisor of numbers 220, 126, 552, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 126, 552, 394 is 2.
1. What is the GCD of 220, 126, 552, 394?
GCD of given numbers 220, 126, 552, 394 is 2
2. How to calculate the greatest common divisor of 220, 126, 552, 394?
We can find the highest common divisor of 220, 126, 552, 394 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, 126, 552, 394 i.e 2.
3. How can I use the GCD of 220, 126, 552, 394Calculator?
Out the numbers 220, 126, 552, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.