Online GCD Calculator is useful to find the GCD of 846, 825, 63, 861 quickly. Get the easiest ways to solve the greatest common divisor of 846, 825, 63, 861 i.e 3 in different methods as follows.
Given Input numbers are 846, 825, 63, 861
In the factoring method, we have to find the divisors of all numbers
Divisors of 846 :
The positive integer divisors of 846 that completely divides 846 are.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 63 :
The positive integer divisors of 63 that completely divides 63 are.
1, 3, 7, 9, 21, 63
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
GCD of numbers is the greatest common divisor
So, the GCD (846, 825, 63, 861) = 3.
Given numbers are 846, 825, 63, 861
The list of prime factors of all numbers are
Prime factors of 846 are 2 x 3 x 3 x 47
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 63 are 3 x 3 x 7
Prime factors of 861 are 3 x 7 x 41
The highest common occurrence is 31
Therefore, GCD of 846, 825, 63, 861 is 3.
Given numbers are 846, 825, 63, 861
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(846, 825) = 232650
GCD(846, 825) = ( 846 x 825 ) / 232650
= 846 / 825
= 846
Step2:
LCM(3, 63) = 63
GCD(3, 63) = ( 3 x 63 ) / 63
= 3 / 63
= 3
Step3:
LCM(3, 861) = 861
GCD(3, 861) = ( 3 x 861 ) / 861
= 3 / 861
= 3
So, Greatest Common Divisor of 846, 825, 63, 861 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 846, 825, 63, 861
The greatest common divisor of numbers 846, 825, 63, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 846, 825, 63, 861 is 3.
1. What is the GCD of 846, 825, 63, 861?
GCD of given numbers 846, 825, 63, 861 is 3
2. How to calculate the greatest common divisor of 846, 825, 63, 861?
We can find the highest common divisor of 846, 825, 63, 861 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 846, 825, 63, 861 i.e 3.
3. How can I use the GCD of 846, 825, 63, 861Calculator?
Out the numbers 846, 825, 63, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.