Online GCD Calculator is useful to find the GCD of 921, 308, 104, 138 quickly. Get the easiest ways to solve the greatest common divisor of 921, 308, 104, 138 i.e 1 in different methods as follows.
Given Input numbers are 921, 308, 104, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
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 (921, 308, 104, 138) = 1.
Given numbers are 921, 308, 104, 138
The list of prime factors of all numbers are
Prime factors of 921 are 3 x 307
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 104 are 2 x 2 x 2 x 13
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 921, 308, 104, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(921, 308) = 283668
GCD(921, 308) = ( 921 x 308 ) / 283668
= 921 / 308
= 921
Step2:
LCM(1, 104) = 104
GCD(1, 104) = ( 1 x 104 ) / 104
= 1 / 104
= 1
Step3:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
So, Greatest Common Divisor of 921, 308, 104, 138 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 921, 308, 104, 138
The greatest common divisor of numbers 921, 308, 104, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 308, 104, 138 is 1.
1. What is the GCD of 921, 308, 104, 138?
GCD of given numbers 921, 308, 104, 138 is 1
2. How to calculate the greatest common divisor of 921, 308, 104, 138?
We can find the highest common divisor of 921, 308, 104, 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 921, 308, 104, 138 i.e 1.
3. How can I use the GCD of 921, 308, 104, 138Calculator?
Out the numbers 921, 308, 104, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.