Online GCD Calculator is useful to find the GCD of 837, 360, 858, 561 quickly. Get the easiest ways to solve the greatest common divisor of 837, 360, 858, 561 i.e 3 in different methods as follows.
Given Input numbers are 837, 360, 858, 561
In the factoring method, we have to find the divisors of all numbers
Divisors of 837 :
The positive integer divisors of 837 that completely divides 837 are.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 858 :
The positive integer divisors of 858 that completely divides 858 are.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
GCD of numbers is the greatest common divisor
So, the GCD (837, 360, 858, 561) = 3.
Given numbers are 837, 360, 858, 561
The list of prime factors of all numbers are
Prime factors of 837 are 3 x 3 x 3 x 31
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 858 are 2 x 3 x 11 x 13
Prime factors of 561 are 3 x 11 x 17
The highest common occurrence is 31
Therefore, GCD of 837, 360, 858, 561 is 3.
Given numbers are 837, 360, 858, 561
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(837, 360) = 33480
GCD(837, 360) = ( 837 x 360 ) / 33480
= 837 / 360
= 837
Step2:
LCM(9, 858) = 2574
GCD(9, 858) = ( 9 x 858 ) / 2574
= 9 / 858
= 9
Step3:
LCM(3, 561) = 561
GCD(3, 561) = ( 3 x 561 ) / 561
= 3 / 561
= 3
So, Greatest Common Divisor of 837, 360, 858, 561 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 837, 360, 858, 561
The greatest common divisor of numbers 837, 360, 858, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 837, 360, 858, 561 is 3.
1. What is the GCD of 837, 360, 858, 561?
GCD of given numbers 837, 360, 858, 561 is 3
2. How to calculate the greatest common divisor of 837, 360, 858, 561?
We can find the highest common divisor of 837, 360, 858, 561 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 837, 360, 858, 561 i.e 3.
3. How can I use the GCD of 837, 360, 858, 561Calculator?
Out the numbers 837, 360, 858, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.