Online GCD Calculator is useful to find the GCD of 858, 771, 210, 975 quickly. Get the easiest ways to solve the greatest common divisor of 858, 771, 210, 975 i.e 3 in different methods as follows.
Given Input numbers are 858, 771, 210, 975
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 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
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 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
GCD of numbers is the greatest common divisor
So, the GCD (858, 771, 210, 975) = 3.
Given numbers are 858, 771, 210, 975
The list of prime factors of all numbers are
Prime factors of 858 are 2 x 3 x 11 x 13
Prime factors of 771 are 3 x 257
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 975 are 3 x 5 x 5 x 13
The highest common occurrence is 31
Therefore, GCD of 858, 771, 210, 975 is 3.
Given numbers are 858, 771, 210, 975
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(858, 771) = 220506
GCD(858, 771) = ( 858 x 771 ) / 220506
= 858 / 771
= 858
Step2:
LCM(3, 210) = 210
GCD(3, 210) = ( 3 x 210 ) / 210
= 3 / 210
= 3
Step3:
LCM(3, 975) = 975
GCD(3, 975) = ( 3 x 975 ) / 975
= 3 / 975
= 3
So, Greatest Common Divisor of 858, 771, 210, 975 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 858, 771, 210, 975
The greatest common divisor of numbers 858, 771, 210, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 771, 210, 975 is 3.
1. What is the GCD of 858, 771, 210, 975?
GCD of given numbers 858, 771, 210, 975 is 3
2. How to calculate the greatest common divisor of 858, 771, 210, 975?
We can find the highest common divisor of 858, 771, 210, 975 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, 771, 210, 975 i.e 3.
3. How can I use the GCD of 858, 771, 210, 975Calculator?
Out the numbers 858, 771, 210, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.