Online GCD Calculator is useful to find the GCD of 177, 420, 367, 272 quickly. Get the easiest ways to solve the greatest common divisor of 177, 420, 367, 272 i.e 1 in different methods as follows.
Given Input numbers are 177, 420, 367, 272
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 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 367 :
The positive integer divisors of 367 that completely divides 367 are.
1, 367
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (177, 420, 367, 272) = 1.
Given numbers are 177, 420, 367, 272
The list of prime factors of all numbers are
Prime factors of 177 are 3 x 59
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 367 are 367
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 177, 420, 367, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(177, 420) = 24780
GCD(177, 420) = ( 177 x 420 ) / 24780
= 177 / 420
= 177
Step2:
LCM(3, 367) = 1101
GCD(3, 367) = ( 3 x 367 ) / 1101
= 3 / 367
= 3
Step3:
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
= 1 / 272
= 1
So, Greatest Common Divisor of 177, 420, 367, 272 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 177, 420, 367, 272
The greatest common divisor of numbers 177, 420, 367, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 177, 420, 367, 272 is 1.
1. What is the GCD of 177, 420, 367, 272?
GCD of given numbers 177, 420, 367, 272 is 1
2. How to calculate the greatest common divisor of 177, 420, 367, 272?
We can find the highest common divisor of 177, 420, 367, 272 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, 420, 367, 272 i.e 1.
3. How can I use the GCD of 177, 420, 367, 272Calculator?
Out the numbers 177, 420, 367, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.