Online GCD Calculator is useful to find the GCD of 154, 363, 309, 297 quickly. Get the easiest ways to solve the greatest common divisor of 154, 363, 309, 297 i.e 1 in different methods as follows.
Given Input numbers are 154, 363, 309, 297
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 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
GCD of numbers is the greatest common divisor
So, the GCD (154, 363, 309, 297) = 1.
Given numbers are 154, 363, 309, 297
The list of prime factors of all numbers are
Prime factors of 154 are 2 x 7 x 11
Prime factors of 363 are 3 x 11 x 11
Prime factors of 309 are 3 x 103
Prime factors of 297 are 3 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 154, 363, 309, 297
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(154, 363) = 5082
GCD(154, 363) = ( 154 x 363 ) / 5082
= 154 / 363
= 154
Step2:
LCM(11, 309) = 3399
GCD(11, 309) = ( 11 x 309 ) / 3399
= 11 / 309
= 11
Step3:
LCM(1, 297) = 297
GCD(1, 297) = ( 1 x 297 ) / 297
= 1 / 297
= 1
So, Greatest Common Divisor of 154, 363, 309, 297 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 154, 363, 309, 297
The greatest common divisor of numbers 154, 363, 309, 297 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 154, 363, 309, 297 is 1.
1. What is the GCD of 154, 363, 309, 297?
GCD of given numbers 154, 363, 309, 297 is 1
2. How to calculate the greatest common divisor of 154, 363, 309, 297?
We can find the highest common divisor of 154, 363, 309, 297 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, 363, 309, 297 i.e 1.
3. How can I use the GCD of 154, 363, 309, 297Calculator?
Out the numbers 154, 363, 309, 297 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.