Online GCD Calculator is useful to find the GCD of 100, 103, 375, 398 quickly. Get the easiest ways to solve the greatest common divisor of 100, 103, 375, 398 i.e 1 in different methods as follows.
Given Input numbers are 100, 103, 375, 398
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 103 :
The positive integer divisors of 103 that completely divides 103 are.
1, 103
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
GCD of numbers is the greatest common divisor
So, the GCD (100, 103, 375, 398) = 1.
Given numbers are 100, 103, 375, 398
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 103 are 103
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 398 are 2 x 199
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 103, 375, 398
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 103) = 10300
GCD(100, 103) = ( 100 x 103 ) / 10300
= 100 / 103
= 100
Step2:
LCM(1, 375) = 375
GCD(1, 375) = ( 1 x 375 ) / 375
= 1 / 375
= 1
Step3:
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
= 1 / 398
= 1
So, Greatest Common Divisor of 100, 103, 375, 398 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 103, 375, 398
The greatest common divisor of numbers 100, 103, 375, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 103, 375, 398 is 1.
1. What is the GCD of 100, 103, 375, 398?
GCD of given numbers 100, 103, 375, 398 is 1
2. How to calculate the greatest common divisor of 100, 103, 375, 398?
We can find the highest common divisor of 100, 103, 375, 398 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, 103, 375, 398 i.e 1.
3. How can I use the GCD of 100, 103, 375, 398Calculator?
Out the numbers 100, 103, 375, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.