Online GCD Calculator is useful to find the GCD of 204, 137, 268, 149 quickly. Get the easiest ways to solve the greatest common divisor of 204, 137, 268, 149 i.e 1 in different methods as follows.
Given Input numbers are 204, 137, 268, 149
In the factoring method, we have to find the divisors of all numbers
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
GCD of numbers is the greatest common divisor
So, the GCD (204, 137, 268, 149) = 1.
Given numbers are 204, 137, 268, 149
The list of prime factors of all numbers are
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 137 are 137
Prime factors of 268 are 2 x 2 x 67
Prime factors of 149 are 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 204, 137, 268, 149
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(204, 137) = 27948
GCD(204, 137) = ( 204 x 137 ) / 27948
= 204 / 137
= 204
Step2:
LCM(1, 268) = 268
GCD(1, 268) = ( 1 x 268 ) / 268
= 1 / 268
= 1
Step3:
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
= 1 / 149
= 1
So, Greatest Common Divisor of 204, 137, 268, 149 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 204, 137, 268, 149
The greatest common divisor of numbers 204, 137, 268, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 137, 268, 149 is 1.
1. What is the GCD of 204, 137, 268, 149?
GCD of given numbers 204, 137, 268, 149 is 1
2. How to calculate the greatest common divisor of 204, 137, 268, 149?
We can find the highest common divisor of 204, 137, 268, 149 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 204, 137, 268, 149 i.e 1.
3. How can I use the GCD of 204, 137, 268, 149Calculator?
Out the numbers 204, 137, 268, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.