Online GCD Calculator is useful to find the GCD of 858, 236, 744, 172 quickly. Get the easiest ways to solve the greatest common divisor of 858, 236, 744, 172 i.e 2 in different methods as follows.
Given Input numbers are 858, 236, 744, 172
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 236 :
The positive integer divisors of 236 that completely divides 236 are.
1, 2, 4, 59, 118, 236
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (858, 236, 744, 172) = 2.
Given numbers are 858, 236, 744, 172
The list of prime factors of all numbers are
Prime factors of 858 are 2 x 3 x 11 x 13
Prime factors of 236 are 2 x 2 x 59
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 172 are 2 x 2 x 43
The highest common occurrence is 21
Therefore, GCD of 858, 236, 744, 172 is 2.
Given numbers are 858, 236, 744, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(858, 236) = 101244
GCD(858, 236) = ( 858 x 236 ) / 101244
= 858 / 236
= 858
Step2:
LCM(2, 744) = 744
GCD(2, 744) = ( 2 x 744 ) / 744
= 2 / 744
= 2
Step3:
LCM(2, 172) = 172
GCD(2, 172) = ( 2 x 172 ) / 172
= 2 / 172
= 2
So, Greatest Common Divisor of 858, 236, 744, 172 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 858, 236, 744, 172
The greatest common divisor of numbers 858, 236, 744, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 236, 744, 172 is 2.
1. What is the GCD of 858, 236, 744, 172?
GCD of given numbers 858, 236, 744, 172 is 2
2. How to calculate the greatest common divisor of 858, 236, 744, 172?
We can find the highest common divisor of 858, 236, 744, 172 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, 236, 744, 172 i.e 2.
3. How can I use the GCD of 858, 236, 744, 172Calculator?
Out the numbers 858, 236, 744, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.