Online GCD Calculator is useful to find the GCD of 538, 250, 302, 107 quickly. Get the easiest ways to solve the greatest common divisor of 538, 250, 302, 107 i.e 1 in different methods as follows.
Given Input numbers are 538, 250, 302, 107
In the factoring method, we have to find the divisors of all numbers
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
Divisors of 250 :
The positive integer divisors of 250 that completely divides 250 are.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
GCD of numbers is the greatest common divisor
So, the GCD (538, 250, 302, 107) = 1.
Given numbers are 538, 250, 302, 107
The list of prime factors of all numbers are
Prime factors of 538 are 2 x 269
Prime factors of 250 are 2 x 5 x 5 x 5
Prime factors of 302 are 2 x 151
Prime factors of 107 are 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 538, 250, 302, 107
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(538, 250) = 67250
GCD(538, 250) = ( 538 x 250 ) / 67250
= 538 / 250
= 538
Step2:
LCM(2, 302) = 302
GCD(2, 302) = ( 2 x 302 ) / 302
= 2 / 302
= 2
Step3:
LCM(2, 107) = 214
GCD(2, 107) = ( 2 x 107 ) / 214
= 2 / 107
= 2
So, Greatest Common Divisor of 538, 250, 302, 107 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 538, 250, 302, 107
The greatest common divisor of numbers 538, 250, 302, 107 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 250, 302, 107 is 1.
1. What is the GCD of 538, 250, 302, 107?
GCD of given numbers 538, 250, 302, 107 is 1
2. How to calculate the greatest common divisor of 538, 250, 302, 107?
We can find the highest common divisor of 538, 250, 302, 107 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 538, 250, 302, 107 i.e 1.
3. How can I use the GCD of 538, 250, 302, 107Calculator?
Out the numbers 538, 250, 302, 107 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.