Online GCD Calculator is useful to find the GCD of 154, 231, 177, 300 quickly. Get the easiest ways to solve the greatest common divisor of 154, 231, 177, 300 i.e 1 in different methods as follows.
Given Input numbers are 154, 231, 177, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (154, 231, 177, 300) = 1.
Given numbers are 154, 231, 177, 300
The list of prime factors of all numbers are
Prime factors of 154 are 2 x 7 x 11
Prime factors of 231 are 3 x 7 x 11
Prime factors of 177 are 3 x 59
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 154, 231, 177, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(154, 231) = 462
GCD(154, 231) = ( 154 x 231 ) / 462
= 154 / 231
= 154
Step2:
LCM(77, 177) = 13629
GCD(77, 177) = ( 77 x 177 ) / 13629
= 77 / 177
= 77
Step3:
LCM(1, 300) = 300
GCD(1, 300) = ( 1 x 300 ) / 300
= 1 / 300
= 1
So, Greatest Common Divisor of 154, 231, 177, 300 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 154, 231, 177, 300
The greatest common divisor of numbers 154, 231, 177, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 154, 231, 177, 300 is 1.
1. What is the GCD of 154, 231, 177, 300?
GCD of given numbers 154, 231, 177, 300 is 1
2. How to calculate the greatest common divisor of 154, 231, 177, 300?
We can find the highest common divisor of 154, 231, 177, 300 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 154, 231, 177, 300 i.e 1.
3. How can I use the GCD of 154, 231, 177, 300Calculator?
Out the numbers 154, 231, 177, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.