Online GCD Calculator is useful to find the GCD of 486, 802, 672, 204 quickly. Get the easiest ways to solve the greatest common divisor of 486, 802, 672, 204 i.e 2 in different methods as follows.
Given Input numbers are 486, 802, 672, 204
In the factoring method, we have to find the divisors of all numbers
Divisors of 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 802 :
The positive integer divisors of 802 that completely divides 802 are.
1, 2, 401, 802
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
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 (486, 802, 672, 204) = 2.
Given numbers are 486, 802, 672, 204
The list of prime factors of all numbers are
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 802 are 2 x 401
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 204 are 2 x 2 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 486, 802, 672, 204 is 2.
Given numbers are 486, 802, 672, 204
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(486, 802) = 194886
GCD(486, 802) = ( 486 x 802 ) / 194886
= 486 / 802
= 486
Step2:
LCM(2, 672) = 672
GCD(2, 672) = ( 2 x 672 ) / 672
= 2 / 672
= 2
Step3:
LCM(2, 204) = 204
GCD(2, 204) = ( 2 x 204 ) / 204
= 2 / 204
= 2
So, Greatest Common Divisor of 486, 802, 672, 204 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 486, 802, 672, 204
The greatest common divisor of numbers 486, 802, 672, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 486, 802, 672, 204 is 2.
1. What is the GCD of 486, 802, 672, 204?
GCD of given numbers 486, 802, 672, 204 is 2
2. How to calculate the greatest common divisor of 486, 802, 672, 204?
We can find the highest common divisor of 486, 802, 672, 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 486, 802, 672, 204 i.e 2.
3. How can I use the GCD of 486, 802, 672, 204Calculator?
Out the numbers 486, 802, 672, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.