Online GCD Calculator is useful to find the GCD of 100, 304, 378 quickly. Get the easiest ways to solve the greatest common divisor of 100, 304, 378 i.e 2 in different methods as follows.
Given Input numbers are 100, 304, 378
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 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD of numbers is the greatest common divisor
So, the GCD (100, 304, 378) = 2.
Given numbers are 100, 304, 378
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 100, 304, 378 is 2.
Given numbers are 100, 304, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 304) = 7600
GCD(100, 304) = ( 100 x 304 ) / 7600
= 100 / 304
= 100
Step2:
LCM(4, 378) = 756
GCD(4, 378) = ( 4 x 378 ) / 756
= 4 / 378
= 4
So, Greatest Common Divisor of 100, 304, 378 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 304, 378
The greatest common divisor of numbers 100, 304, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 304, 378 is 2.
1. What is the GCD of 100, 304, 378?
GCD of given numbers 100, 304, 378 is 2
2. How to calculate the greatest common divisor of 100, 304, 378?
We can find the highest common divisor of 100, 304, 378 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, 304, 378 i.e 2.
3. How can I use the GCD of 100, 304, 378Calculator?
Out the numbers 100, 304, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.