Online GCD Calculator is useful to find the GCD of 473, 561, 978, 378 quickly. Get the easiest ways to solve the greatest common divisor of 473, 561, 978, 378 i.e 1 in different methods as follows.
Given Input numbers are 473, 561, 978, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 473 :
The positive integer divisors of 473 that completely divides 473 are.
1, 11, 43, 473
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD of numbers is the greatest common divisor
So, the GCD (473, 561, 978, 378) = 1.
Given numbers are 473, 561, 978, 378
The list of prime factors of all numbers are
Prime factors of 473 are 11 x 43
Prime factors of 561 are 3 x 11 x 17
Prime factors of 978 are 2 x 3 x 163
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 473, 561, 978, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(473, 561) = 24123
GCD(473, 561) = ( 473 x 561 ) / 24123
= 473 / 561
= 473
Step2:
LCM(11, 978) = 10758
GCD(11, 978) = ( 11 x 978 ) / 10758
= 11 / 978
= 11
Step3:
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
= 1 / 378
= 1
So, Greatest Common Divisor of 473, 561, 978, 378 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 473, 561, 978, 378
The greatest common divisor of numbers 473, 561, 978, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 473, 561, 978, 378 is 1.
1. What is the GCD of 473, 561, 978, 378?
GCD of given numbers 473, 561, 978, 378 is 1
2. How to calculate the greatest common divisor of 473, 561, 978, 378?
We can find the highest common divisor of 473, 561, 978, 378 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 473, 561, 978, 378 i.e 1.
3. How can I use the GCD of 473, 561, 978, 378Calculator?
Out the numbers 473, 561, 978, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.