Online GCD Calculator is useful to find the GCD of 386, 870, 126, 178 quickly. Get the easiest ways to solve the greatest common divisor of 386, 870, 126, 178 i.e 2 in different methods as follows.
Given Input numbers are 386, 870, 126, 178
In the factoring method, we have to find the divisors of all numbers
Divisors of 386 :
The positive integer divisors of 386 that completely divides 386 are.
1, 2, 193, 386
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 178 :
The positive integer divisors of 178 that completely divides 178 are.
1, 2, 89, 178
GCD of numbers is the greatest common divisor
So, the GCD (386, 870, 126, 178) = 2.
Given numbers are 386, 870, 126, 178
The list of prime factors of all numbers are
Prime factors of 386 are 2 x 193
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 178 are 2 x 89
The highest common occurrence is 21
Therefore, GCD of 386, 870, 126, 178 is 2.
Given numbers are 386, 870, 126, 178
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(386, 870) = 167910
GCD(386, 870) = ( 386 x 870 ) / 167910
= 386 / 870
= 386
Step2:
LCM(2, 126) = 126
GCD(2, 126) = ( 2 x 126 ) / 126
= 2 / 126
= 2
Step3:
LCM(2, 178) = 178
GCD(2, 178) = ( 2 x 178 ) / 178
= 2 / 178
= 2
So, Greatest Common Divisor of 386, 870, 126, 178 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 386, 870, 126, 178
The greatest common divisor of numbers 386, 870, 126, 178 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 386, 870, 126, 178 is 2.
1. What is the GCD of 386, 870, 126, 178?
GCD of given numbers 386, 870, 126, 178 is 2
2. How to calculate the greatest common divisor of 386, 870, 126, 178?
We can find the highest common divisor of 386, 870, 126, 178 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 386, 870, 126, 178 i.e 2.
3. How can I use the GCD of 386, 870, 126, 178Calculator?
Out the numbers 386, 870, 126, 178 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.