Online GCD Calculator is useful to find the GCD of 308, 441, 154, 177 quickly. Get the easiest ways to solve the greatest common divisor of 308, 441, 154, 177 i.e 1 in different methods as follows.
Given Input numbers are 308, 441, 154, 177
In the factoring method, we have to find the divisors of all numbers
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 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
GCD of numbers is the greatest common divisor
So, the GCD (308, 441, 154, 177) = 1.
Given numbers are 308, 441, 154, 177
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 154 are 2 x 7 x 11
Prime factors of 177 are 3 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 308, 441, 154, 177
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 441) = 19404
GCD(308, 441) = ( 308 x 441 ) / 19404
= 308 / 441
= 308
Step2:
LCM(7, 154) = 154
GCD(7, 154) = ( 7 x 154 ) / 154
= 7 / 154
= 7
Step3:
LCM(7, 177) = 1239
GCD(7, 177) = ( 7 x 177 ) / 1239
= 7 / 177
= 7
So, Greatest Common Divisor of 308, 441, 154, 177 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 441, 154, 177
The greatest common divisor of numbers 308, 441, 154, 177 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 441, 154, 177 is 1.
1. What is the GCD of 308, 441, 154, 177?
GCD of given numbers 308, 441, 154, 177 is 1
2. How to calculate the greatest common divisor of 308, 441, 154, 177?
We can find the highest common divisor of 308, 441, 154, 177 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 308, 441, 154, 177 i.e 1.
3. How can I use the GCD of 308, 441, 154, 177Calculator?
Out the numbers 308, 441, 154, 177 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.