Online GCD Calculator is useful to find the GCD of 203, 316, 122, 138 quickly. Get the easiest ways to solve the greatest common divisor of 203, 316, 122, 138 i.e 1 in different methods as follows.
Given Input numbers are 203, 316, 122, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 203 :
The positive integer divisors of 203 that completely divides 203 are.
1, 7, 29, 203
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (203, 316, 122, 138) = 1.
Given numbers are 203, 316, 122, 138
The list of prime factors of all numbers are
Prime factors of 203 are 7 x 29
Prime factors of 316 are 2 x 2 x 79
Prime factors of 122 are 2 x 61
Prime factors of 138 are 2 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 203, 316, 122, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(203, 316) = 64148
GCD(203, 316) = ( 203 x 316 ) / 64148
= 203 / 316
= 203
Step2:
LCM(1, 122) = 122
GCD(1, 122) = ( 1 x 122 ) / 122
= 1 / 122
= 1
Step3:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
So, Greatest Common Divisor of 203, 316, 122, 138 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 203, 316, 122, 138
The greatest common divisor of numbers 203, 316, 122, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 203, 316, 122, 138 is 1.
1. What is the GCD of 203, 316, 122, 138?
GCD of given numbers 203, 316, 122, 138 is 1
2. How to calculate the greatest common divisor of 203, 316, 122, 138?
We can find the highest common divisor of 203, 316, 122, 138 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 203, 316, 122, 138 i.e 1.
3. How can I use the GCD of 203, 316, 122, 138Calculator?
Out the numbers 203, 316, 122, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.