Online GCD Calculator is useful to find the GCD of 107, 604, 316, 300 quickly. Get the easiest ways to solve the greatest common divisor of 107, 604, 316, 300 i.e 1 in different methods as follows.
Given Input numbers are 107, 604, 316, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
Divisors of 604 :
The positive integer divisors of 604 that completely divides 604 are.
1, 2, 4, 151, 302, 604
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (107, 604, 316, 300) = 1.
Given numbers are 107, 604, 316, 300
The list of prime factors of all numbers are
Prime factors of 107 are 107
Prime factors of 604 are 2 x 2 x 151
Prime factors of 316 are 2 x 2 x 79
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 107, 604, 316, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(107, 604) = 64628
GCD(107, 604) = ( 107 x 604 ) / 64628
= 107 / 604
= 107
Step2:
LCM(1, 316) = 316
GCD(1, 316) = ( 1 x 316 ) / 316
= 1 / 316
= 1
Step3:
LCM(1, 300) = 300
GCD(1, 300) = ( 1 x 300 ) / 300
= 1 / 300
= 1
So, Greatest Common Divisor of 107, 604, 316, 300 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 107, 604, 316, 300
The greatest common divisor of numbers 107, 604, 316, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 604, 316, 300 is 1.
1. What is the GCD of 107, 604, 316, 300?
GCD of given numbers 107, 604, 316, 300 is 1
2. How to calculate the greatest common divisor of 107, 604, 316, 300?
We can find the highest common divisor of 107, 604, 316, 300 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 107, 604, 316, 300 i.e 1.
3. How can I use the GCD of 107, 604, 316, 300Calculator?
Out the numbers 107, 604, 316, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.