Online GCD Calculator is useful to find the GCD of 503, 164, 742, 107 quickly. Get the easiest ways to solve the greatest common divisor of 503, 164, 742, 107 i.e 1 in different methods as follows.
Given Input numbers are 503, 164, 742, 107
In the factoring method, we have to find the divisors of all numbers
Divisors of 503 :
The positive integer divisors of 503 that completely divides 503 are.
1, 503
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
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 (503, 164, 742, 107) = 1.
Given numbers are 503, 164, 742, 107
The list of prime factors of all numbers are
Prime factors of 503 are 503
Prime factors of 164 are 2 x 2 x 41
Prime factors of 742 are 2 x 7 x 53
Prime factors of 107 are 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 503, 164, 742, 107
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(503, 164) = 82492
GCD(503, 164) = ( 503 x 164 ) / 82492
= 503 / 164
= 503
Step2:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
Step3:
LCM(1, 107) = 107
GCD(1, 107) = ( 1 x 107 ) / 107
= 1 / 107
= 1
So, Greatest Common Divisor of 503, 164, 742, 107 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 503, 164, 742, 107
The greatest common divisor of numbers 503, 164, 742, 107 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 503, 164, 742, 107 is 1.
1. What is the GCD of 503, 164, 742, 107?
GCD of given numbers 503, 164, 742, 107 is 1
2. How to calculate the greatest common divisor of 503, 164, 742, 107?
We can find the highest common divisor of 503, 164, 742, 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 503, 164, 742, 107 i.e 1.
3. How can I use the GCD of 503, 164, 742, 107Calculator?
Out the numbers 503, 164, 742, 107 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.