Online GCD Calculator is useful to find the GCD of 309, 972, 858 quickly. Get the easiest ways to solve the greatest common divisor of 309, 972, 858 i.e 3 in different methods as follows.
Given Input numbers are 309, 972, 858
In the factoring method, we have to find the divisors of all numbers
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
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
GCD of numbers is the greatest common divisor
So, the GCD (309, 972, 858) = 3.
Given numbers are 309, 972, 858
The list of prime factors of all numbers are
Prime factors of 309 are 3 x 103
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 858 are 2 x 3 x 11 x 13
The highest common occurrence is 31
Therefore, GCD of 309, 972, 858 is 3.
Given numbers are 309, 972, 858
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(309, 972) = 100116
GCD(309, 972) = ( 309 x 972 ) / 100116
= 309 / 972
= 309
Step2:
LCM(3, 858) = 858
GCD(3, 858) = ( 3 x 858 ) / 858
= 3 / 858
= 3
So, Greatest Common Divisor of 309, 972, 858 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 309, 972, 858
The greatest common divisor of numbers 309, 972, 858 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 972, 858 is 3.
1. What is the GCD of 309, 972, 858?
GCD of given numbers 309, 972, 858 is 3
2. How to calculate the greatest common divisor of 309, 972, 858?
We can find the highest common divisor of 309, 972, 858 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 309, 972, 858 i.e 3.
3. How can I use the GCD of 309, 972, 858Calculator?
Out the numbers 309, 972, 858 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.