Online GCD Calculator is useful to find the GCD of 380, 420, 649, 176 quickly. Get the easiest ways to solve the greatest common divisor of 380, 420, 649, 176 i.e 1 in different methods as follows.
Given Input numbers are 380, 420, 649, 176
In the factoring method, we have to find the divisors of all numbers
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
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 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
Divisors of 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
GCD of numbers is the greatest common divisor
So, the GCD (380, 420, 649, 176) = 1.
Given numbers are 380, 420, 649, 176
The list of prime factors of all numbers are
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 649 are 11 x 59
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 380, 420, 649, 176
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(380, 420) = 7980
GCD(380, 420) = ( 380 x 420 ) / 7980
= 380 / 420
= 380
Step2:
LCM(20, 649) = 12980
GCD(20, 649) = ( 20 x 649 ) / 12980
= 20 / 649
= 20
Step3:
LCM(1, 176) = 176
GCD(1, 176) = ( 1 x 176 ) / 176
= 1 / 176
= 1
So, Greatest Common Divisor of 380, 420, 649, 176 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 380, 420, 649, 176
The greatest common divisor of numbers 380, 420, 649, 176 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 420, 649, 176 is 1.
1. What is the GCD of 380, 420, 649, 176?
GCD of given numbers 380, 420, 649, 176 is 1
2. How to calculate the greatest common divisor of 380, 420, 649, 176?
We can find the highest common divisor of 380, 420, 649, 176 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 380, 420, 649, 176 i.e 1.
3. How can I use the GCD of 380, 420, 649, 176Calculator?
Out the numbers 380, 420, 649, 176 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.