Online GCD Calculator is useful to find the GCD of 220, 804, 998, 402 quickly. Get the easiest ways to solve the greatest common divisor of 220, 804, 998, 402 i.e 2 in different methods as follows.
Given Input numbers are 220, 804, 998, 402
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 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
GCD of numbers is the greatest common divisor
So, the GCD (220, 804, 998, 402) = 2.
Given numbers are 220, 804, 998, 402
The list of prime factors of all numbers are
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 998 are 2 x 499
Prime factors of 402 are 2 x 3 x 67
The highest common occurrence is 21
Therefore, GCD of 220, 804, 998, 402 is 2.
Given numbers are 220, 804, 998, 402
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(220, 804) = 44220
GCD(220, 804) = ( 220 x 804 ) / 44220
= 220 / 804
= 220
Step2:
LCM(4, 998) = 1996
GCD(4, 998) = ( 4 x 998 ) / 1996
= 4 / 998
= 4
Step3:
LCM(2, 402) = 402
GCD(2, 402) = ( 2 x 402 ) / 402
= 2 / 402
= 2
So, Greatest Common Divisor of 220, 804, 998, 402 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 220, 804, 998, 402
The greatest common divisor of numbers 220, 804, 998, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 804, 998, 402 is 2.
1. What is the GCD of 220, 804, 998, 402?
GCD of given numbers 220, 804, 998, 402 is 2
2. How to calculate the greatest common divisor of 220, 804, 998, 402?
We can find the highest common divisor of 220, 804, 998, 402 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, 804, 998, 402 i.e 2.
3. How can I use the GCD of 220, 804, 998, 402Calculator?
Out the numbers 220, 804, 998, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.