Online GCD Calculator is useful to find the GCD of 630, 474, 362, 204 quickly. Get the easiest ways to solve the greatest common divisor of 630, 474, 362, 204 i.e 2 in different methods as follows.
Given Input numbers are 630, 474, 362, 204
In the factoring method, we have to find the divisors of all numbers
Divisors of 630 :
The positive integer divisors of 630 that completely divides 630 are.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
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 (630, 474, 362, 204) = 2.
Given numbers are 630, 474, 362, 204
The list of prime factors of all numbers are
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
Prime factors of 474 are 2 x 3 x 79
Prime factors of 362 are 2 x 181
Prime factors of 204 are 2 x 2 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 630, 474, 362, 204 is 2.
Given numbers are 630, 474, 362, 204
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(630, 474) = 49770
GCD(630, 474) = ( 630 x 474 ) / 49770
= 630 / 474
= 630
Step2:
LCM(6, 362) = 1086
GCD(6, 362) = ( 6 x 362 ) / 1086
= 6 / 362
= 6
Step3:
LCM(2, 204) = 204
GCD(2, 204) = ( 2 x 204 ) / 204
= 2 / 204
= 2
So, Greatest Common Divisor of 630, 474, 362, 204 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 630, 474, 362, 204
The greatest common divisor of numbers 630, 474, 362, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 474, 362, 204 is 2.
1. What is the GCD of 630, 474, 362, 204?
GCD of given numbers 630, 474, 362, 204 is 2
2. How to calculate the greatest common divisor of 630, 474, 362, 204?
We can find the highest common divisor of 630, 474, 362, 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 630, 474, 362, 204 i.e 2.
3. How can I use the GCD of 630, 474, 362, 204Calculator?
Out the numbers 630, 474, 362, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.