Online GCD Calculator is useful to find the GCD of 100, 108, 412, 312 quickly. Get the easiest ways to solve the greatest common divisor of 100, 108, 412, 312 i.e 4 in different methods as follows.
Given Input numbers are 100, 108, 412, 312
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 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (100, 108, 412, 312) = 4.
Given numbers are 100, 108, 412, 312
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 412 are 2 x 2 x 103
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The highest common occurrence is 22
Therefore, GCD of 100, 108, 412, 312 is 4.
Given numbers are 100, 108, 412, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 108) = 2700
GCD(100, 108) = ( 100 x 108 ) / 2700
= 100 / 108
= 100
Step2:
LCM(4, 412) = 412
GCD(4, 412) = ( 4 x 412 ) / 412
= 4 / 412
= 4
Step3:
LCM(4, 312) = 312
GCD(4, 312) = ( 4 x 312 ) / 312
= 4 / 312
= 4
So, Greatest Common Divisor of 100, 108, 412, 312 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 108, 412, 312
The greatest common divisor of numbers 100, 108, 412, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 108, 412, 312 is 4.
1. What is the GCD of 100, 108, 412, 312?
GCD of given numbers 100, 108, 412, 312 is 4
2. How to calculate the greatest common divisor of 100, 108, 412, 312?
We can find the highest common divisor of 100, 108, 412, 312 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, 108, 412, 312 i.e 4.
3. How can I use the GCD of 100, 108, 412, 312Calculator?
Out the numbers 100, 108, 412, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.