Online GCD Calculator is useful to find the GCD of 435, 498, 822, 204 quickly. Get the easiest ways to solve the greatest common divisor of 435, 498, 822, 204 i.e 3 in different methods as follows.
Given Input numbers are 435, 498, 822, 204
In the factoring method, we have to find the divisors of all numbers
Divisors of 435 :
The positive integer divisors of 435 that completely divides 435 are.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
GCD of numbers is the greatest common divisor
So, the GCD (435, 498, 822, 204) = 3.
Given numbers are 435, 498, 822, 204
The list of prime factors of all numbers are
Prime factors of 435 are 3 x 5 x 29
Prime factors of 498 are 2 x 3 x 83
Prime factors of 822 are 2 x 3 x 137
Prime factors of 204 are 2 x 2 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 435, 498, 822, 204 is 3.
Given numbers are 435, 498, 822, 204
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(435, 498) = 72210
GCD(435, 498) = ( 435 x 498 ) / 72210
= 435 / 498
= 435
Step2:
LCM(3, 822) = 822
GCD(3, 822) = ( 3 x 822 ) / 822
= 3 / 822
= 3
Step3:
LCM(3, 204) = 204
GCD(3, 204) = ( 3 x 204 ) / 204
= 3 / 204
= 3
So, Greatest Common Divisor of 435, 498, 822, 204 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 435, 498, 822, 204
The greatest common divisor of numbers 435, 498, 822, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 435, 498, 822, 204 is 3.
1. What is the GCD of 435, 498, 822, 204?
GCD of given numbers 435, 498, 822, 204 is 3
2. How to calculate the greatest common divisor of 435, 498, 822, 204?
We can find the highest common divisor of 435, 498, 822, 204 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 435, 498, 822, 204 i.e 3.
3. How can I use the GCD of 435, 498, 822, 204Calculator?
Out the numbers 435, 498, 822, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.