Online GCD Calculator is useful to find the GCD of 498, 200, 220 quickly. Get the easiest ways to solve the greatest common divisor of 498, 200, 220 i.e 2 in different methods as follows.
Given Input numbers are 498, 200, 220
In the factoring method, we have to find the divisors of all numbers
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
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
GCD of numbers is the greatest common divisor
So, the GCD (498, 200, 220) = 2.
Given numbers are 498, 200, 220
The list of prime factors of all numbers are
Prime factors of 498 are 2 x 3 x 83
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 220 are 2 x 2 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 498, 200, 220 is 2.
Given numbers are 498, 200, 220
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(498, 200) = 49800
GCD(498, 200) = ( 498 x 200 ) / 49800
= 498 / 200
= 498
Step2:
LCM(2, 220) = 220
GCD(2, 220) = ( 2 x 220 ) / 220
= 2 / 220
= 2
So, Greatest Common Divisor of 498, 200, 220 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 498, 200, 220
The greatest common divisor of numbers 498, 200, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 200, 220 is 2.
1. What is the GCD of 498, 200, 220?
GCD of given numbers 498, 200, 220 is 2
2. How to calculate the greatest common divisor of 498, 200, 220?
We can find the highest common divisor of 498, 200, 220 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 498, 200, 220 i.e 2.
3. How can I use the GCD of 498, 200, 220Calculator?
Out the numbers 498, 200, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.