Online GCD Calculator is useful to find the GCD of 380, 684, 300, 136 quickly. Get the easiest ways to solve the greatest common divisor of 380, 684, 300, 136 i.e 4 in different methods as follows.
Given Input numbers are 380, 684, 300, 136
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
GCD of numbers is the greatest common divisor
So, the GCD (380, 684, 300, 136) = 4.
Given numbers are 380, 684, 300, 136
The list of prime factors of all numbers are
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 136 are 2 x 2 x 2 x 17
The highest common occurrence is 22
Therefore, GCD of 380, 684, 300, 136 is 4.
Given numbers are 380, 684, 300, 136
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(380, 684) = 3420
GCD(380, 684) = ( 380 x 684 ) / 3420
= 380 / 684
= 380
Step2:
LCM(76, 300) = 5700
GCD(76, 300) = ( 76 x 300 ) / 5700
= 76 / 300
= 76
Step3:
LCM(4, 136) = 136
GCD(4, 136) = ( 4 x 136 ) / 136
= 4 / 136
= 4
So, Greatest Common Divisor of 380, 684, 300, 136 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 380, 684, 300, 136
The greatest common divisor of numbers 380, 684, 300, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 684, 300, 136 is 4.
1. What is the GCD of 380, 684, 300, 136?
GCD of given numbers 380, 684, 300, 136 is 4
2. How to calculate the greatest common divisor of 380, 684, 300, 136?
We can find the highest common divisor of 380, 684, 300, 136 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 380, 684, 300, 136 i.e 4.
3. How can I use the GCD of 380, 684, 300, 136Calculator?
Out the numbers 380, 684, 300, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.