Online GCD Calculator is useful to find the GCD of 238, 858, 132, 380 quickly. Get the easiest ways to solve the greatest common divisor of 238, 858, 132, 380 i.e 2 in different methods as follows.
Given Input numbers are 238, 858, 132, 380
In the factoring method, we have to find the divisors of all numbers
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
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 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
GCD of numbers is the greatest common divisor
So, the GCD (238, 858, 132, 380) = 2.
Given numbers are 238, 858, 132, 380
The list of prime factors of all numbers are
Prime factors of 238 are 2 x 7 x 17
Prime factors of 858 are 2 x 3 x 11 x 13
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 380 are 2 x 2 x 5 x 19
The highest common occurrence is 21
Therefore, GCD of 238, 858, 132, 380 is 2.
Given numbers are 238, 858, 132, 380
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(238, 858) = 102102
GCD(238, 858) = ( 238 x 858 ) / 102102
= 238 / 858
= 238
Step2:
LCM(2, 132) = 132
GCD(2, 132) = ( 2 x 132 ) / 132
= 2 / 132
= 2
Step3:
LCM(2, 380) = 380
GCD(2, 380) = ( 2 x 380 ) / 380
= 2 / 380
= 2
So, Greatest Common Divisor of 238, 858, 132, 380 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 238, 858, 132, 380
The greatest common divisor of numbers 238, 858, 132, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 858, 132, 380 is 2.
1. What is the GCD of 238, 858, 132, 380?
GCD of given numbers 238, 858, 132, 380 is 2
2. How to calculate the greatest common divisor of 238, 858, 132, 380?
We can find the highest common divisor of 238, 858, 132, 380 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 238, 858, 132, 380 i.e 2.
3. How can I use the GCD of 238, 858, 132, 380Calculator?
Out the numbers 238, 858, 132, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.