Online GCD Calculator is useful to find the GCD of 298, 506, 375, 104 quickly. Get the easiest ways to solve the greatest common divisor of 298, 506, 375, 104 i.e 1 in different methods as follows.
Given Input numbers are 298, 506, 375, 104
In the factoring method, we have to find the divisors of all numbers
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
GCD of numbers is the greatest common divisor
So, the GCD (298, 506, 375, 104) = 1.
Given numbers are 298, 506, 375, 104
The list of prime factors of all numbers are
Prime factors of 298 are 2 x 149
Prime factors of 506 are 2 x 11 x 23
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 104 are 2 x 2 x 2 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 298, 506, 375, 104
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(298, 506) = 75394
GCD(298, 506) = ( 298 x 506 ) / 75394
= 298 / 506
= 298
Step2:
LCM(2, 375) = 750
GCD(2, 375) = ( 2 x 375 ) / 750
= 2 / 375
= 2
Step3:
LCM(1, 104) = 104
GCD(1, 104) = ( 1 x 104 ) / 104
= 1 / 104
= 1
So, Greatest Common Divisor of 298, 506, 375, 104 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 298, 506, 375, 104
The greatest common divisor of numbers 298, 506, 375, 104 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 506, 375, 104 is 1.
1. What is the GCD of 298, 506, 375, 104?
GCD of given numbers 298, 506, 375, 104 is 1
2. How to calculate the greatest common divisor of 298, 506, 375, 104?
We can find the highest common divisor of 298, 506, 375, 104 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 298, 506, 375, 104 i.e 1.
3. How can I use the GCD of 298, 506, 375, 104Calculator?
Out the numbers 298, 506, 375, 104 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.