Online GCD Calculator is useful to find the GCD of 100, 185, 940, 180 quickly. Get the easiest ways to solve the greatest common divisor of 100, 185, 940, 180 i.e 5 in different methods as follows.
Given Input numbers are 100, 185, 940, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 185 :
The positive integer divisors of 185 that completely divides 185 are.
1, 5, 37, 185
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (100, 185, 940, 180) = 5.
Given numbers are 100, 185, 940, 180
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 185 are 5 x 37
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 51
Therefore, GCD of 100, 185, 940, 180 is 5.
Given numbers are 100, 185, 940, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 185) = 3700
GCD(100, 185) = ( 100 x 185 ) / 3700
= 100 / 185
= 100
Step2:
LCM(5, 940) = 940
GCD(5, 940) = ( 5 x 940 ) / 940
= 5 / 940
= 5
Step3:
LCM(5, 180) = 180
GCD(5, 180) = ( 5 x 180 ) / 180
= 5 / 180
= 5
So, Greatest Common Divisor of 100, 185, 940, 180 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 185, 940, 180
The greatest common divisor of numbers 100, 185, 940, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 185, 940, 180 is 5.
1. What is the GCD of 100, 185, 940, 180?
GCD of given numbers 100, 185, 940, 180 is 5
2. How to calculate the greatest common divisor of 100, 185, 940, 180?
We can find the highest common divisor of 100, 185, 940, 180 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 100, 185, 940, 180 i.e 5.
3. How can I use the GCD of 100, 185, 940, 180Calculator?
Out the numbers 100, 185, 940, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.