Online GCD Calculator is useful to find the GCD of 377, 289, 180, 282 quickly. Get the easiest ways to solve the greatest common divisor of 377, 289, 180, 282 i.e 1 in different methods as follows.
Given Input numbers are 377, 289, 180, 282
In the factoring method, we have to find the divisors of all numbers
Divisors of 377 :
The positive integer divisors of 377 that completely divides 377 are.
1, 13, 29, 377
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
GCD of numbers is the greatest common divisor
So, the GCD (377, 289, 180, 282) = 1.
Given numbers are 377, 289, 180, 282
The list of prime factors of all numbers are
Prime factors of 377 are 13 x 29
Prime factors of 289 are 17 x 17
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 282 are 2 x 3 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 377, 289, 180, 282
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(377, 289) = 108953
GCD(377, 289) = ( 377 x 289 ) / 108953
= 377 / 289
= 377
Step2:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
Step3:
LCM(1, 282) = 282
GCD(1, 282) = ( 1 x 282 ) / 282
= 1 / 282
= 1
So, Greatest Common Divisor of 377, 289, 180, 282 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 377, 289, 180, 282
The greatest common divisor of numbers 377, 289, 180, 282 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 377, 289, 180, 282 is 1.
1. What is the GCD of 377, 289, 180, 282?
GCD of given numbers 377, 289, 180, 282 is 1
2. How to calculate the greatest common divisor of 377, 289, 180, 282?
We can find the highest common divisor of 377, 289, 180, 282 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 377, 289, 180, 282 i.e 1.
3. How can I use the GCD of 377, 289, 180, 282Calculator?
Out the numbers 377, 289, 180, 282 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.