Online GCD Calculator is useful to find the GCD of 177, 187, 920, 198 quickly. Get the easiest ways to solve the greatest common divisor of 177, 187, 920, 198 i.e 1 in different methods as follows.
Given Input numbers are 177, 187, 920, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
Divisors of 187 :
The positive integer divisors of 187 that completely divides 187 are.
1, 11, 17, 187
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
GCD of numbers is the greatest common divisor
So, the GCD (177, 187, 920, 198) = 1.
Given numbers are 177, 187, 920, 198
The list of prime factors of all numbers are
Prime factors of 177 are 3 x 59
Prime factors of 187 are 11 x 17
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 198 are 2 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 177, 187, 920, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(177, 187) = 33099
GCD(177, 187) = ( 177 x 187 ) / 33099
= 177 / 187
= 177
Step2:
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
= 1 / 920
= 1
Step3:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
So, Greatest Common Divisor of 177, 187, 920, 198 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 177, 187, 920, 198
The greatest common divisor of numbers 177, 187, 920, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 177, 187, 920, 198 is 1.
1. What is the GCD of 177, 187, 920, 198?
GCD of given numbers 177, 187, 920, 198 is 1
2. How to calculate the greatest common divisor of 177, 187, 920, 198?
We can find the highest common divisor of 177, 187, 920, 198 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 177, 187, 920, 198 i.e 1.
3. How can I use the GCD of 177, 187, 920, 198Calculator?
Out the numbers 177, 187, 920, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.