Online GCD Calculator is useful to find the GCD of 858, 750, 315, 834 quickly. Get the easiest ways to solve the greatest common divisor of 858, 750, 315, 834 i.e 3 in different methods as follows.
Given Input numbers are 858, 750, 315, 834
In the factoring method, we have to find the divisors of all numbers
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 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
GCD of numbers is the greatest common divisor
So, the GCD (858, 750, 315, 834) = 3.
Given numbers are 858, 750, 315, 834
The list of prime factors of all numbers are
Prime factors of 858 are 2 x 3 x 11 x 13
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 834 are 2 x 3 x 139
The highest common occurrence is 31
Therefore, GCD of 858, 750, 315, 834 is 3.
Given numbers are 858, 750, 315, 834
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(858, 750) = 107250
GCD(858, 750) = ( 858 x 750 ) / 107250
= 858 / 750
= 858
Step2:
LCM(6, 315) = 630
GCD(6, 315) = ( 6 x 315 ) / 630
= 6 / 315
= 6
Step3:
LCM(3, 834) = 834
GCD(3, 834) = ( 3 x 834 ) / 834
= 3 / 834
= 3
So, Greatest Common Divisor of 858, 750, 315, 834 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 858, 750, 315, 834
The greatest common divisor of numbers 858, 750, 315, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 750, 315, 834 is 3.
1. What is the GCD of 858, 750, 315, 834?
GCD of given numbers 858, 750, 315, 834 is 3
2. How to calculate the greatest common divisor of 858, 750, 315, 834?
We can find the highest common divisor of 858, 750, 315, 834 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 858, 750, 315, 834 i.e 3.
3. How can I use the GCD of 858, 750, 315, 834Calculator?
Out the numbers 858, 750, 315, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.