Online GCD Calculator is useful to find the GCD of 100, 331, 745, 288 quickly. Get the easiest ways to solve the greatest common divisor of 100, 331, 745, 288 i.e 1 in different methods as follows.
Given Input numbers are 100, 331, 745, 288
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 331 :
The positive integer divisors of 331 that completely divides 331 are.
1, 331
Divisors of 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (100, 331, 745, 288) = 1.
Given numbers are 100, 331, 745, 288
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 331 are 331
Prime factors of 745 are 5 x 149
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 331, 745, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 331) = 33100
GCD(100, 331) = ( 100 x 331 ) / 33100
= 100 / 331
= 100
Step2:
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
= 1 / 745
= 1
Step3:
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
= 1 / 288
= 1
So, Greatest Common Divisor of 100, 331, 745, 288 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 331, 745, 288
The greatest common divisor of numbers 100, 331, 745, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 331, 745, 288 is 1.
1. What is the GCD of 100, 331, 745, 288?
GCD of given numbers 100, 331, 745, 288 is 1
2. How to calculate the greatest common divisor of 100, 331, 745, 288?
We can find the highest common divisor of 100, 331, 745, 288 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, 331, 745, 288 i.e 1.
3. How can I use the GCD of 100, 331, 745, 288Calculator?
Out the numbers 100, 331, 745, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.