Online GCD Calculator is useful to find the GCD of 210, 822, 903, 678 quickly. Get the easiest ways to solve the greatest common divisor of 210, 822, 903, 678 i.e 3 in different methods as follows.
Given Input numbers are 210, 822, 903, 678
In the factoring method, we have to find the divisors of all numbers
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 903 :
The positive integer divisors of 903 that completely divides 903 are.
1, 3, 7, 21, 43, 129, 301, 903
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
GCD of numbers is the greatest common divisor
So, the GCD (210, 822, 903, 678) = 3.
Given numbers are 210, 822, 903, 678
The list of prime factors of all numbers are
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 822 are 2 x 3 x 137
Prime factors of 903 are 3 x 7 x 43
Prime factors of 678 are 2 x 3 x 113
The highest common occurrence is 31
Therefore, GCD of 210, 822, 903, 678 is 3.
Given numbers are 210, 822, 903, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(210, 822) = 28770
GCD(210, 822) = ( 210 x 822 ) / 28770
= 210 / 822
= 210
Step2:
LCM(6, 903) = 1806
GCD(6, 903) = ( 6 x 903 ) / 1806
= 6 / 903
= 6
Step3:
LCM(3, 678) = 678
GCD(3, 678) = ( 3 x 678 ) / 678
= 3 / 678
= 3
So, Greatest Common Divisor of 210, 822, 903, 678 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 210, 822, 903, 678
The greatest common divisor of numbers 210, 822, 903, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 822, 903, 678 is 3.
1. What is the GCD of 210, 822, 903, 678?
GCD of given numbers 210, 822, 903, 678 is 3
2. How to calculate the greatest common divisor of 210, 822, 903, 678?
We can find the highest common divisor of 210, 822, 903, 678 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 210, 822, 903, 678 i.e 3.
3. How can I use the GCD of 210, 822, 903, 678Calculator?
Out the numbers 210, 822, 903, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.