Online GCD Calculator is useful to find the GCD of 361, 698, 978, 890 quickly. Get the easiest ways to solve the greatest common divisor of 361, 698, 978, 890 i.e 1 in different methods as follows.
Given Input numbers are 361, 698, 978, 890
In the factoring method, we have to find the divisors of all numbers
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
GCD of numbers is the greatest common divisor
So, the GCD (361, 698, 978, 890) = 1.
Given numbers are 361, 698, 978, 890
The list of prime factors of all numbers are
Prime factors of 361 are 19 x 19
Prime factors of 698 are 2 x 349
Prime factors of 978 are 2 x 3 x 163
Prime factors of 890 are 2 x 5 x 89
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 361, 698, 978, 890
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(361, 698) = 251978
GCD(361, 698) = ( 361 x 698 ) / 251978
= 361 / 698
= 361
Step2:
LCM(1, 978) = 978
GCD(1, 978) = ( 1 x 978 ) / 978
= 1 / 978
= 1
Step3:
LCM(1, 890) = 890
GCD(1, 890) = ( 1 x 890 ) / 890
= 1 / 890
= 1
So, Greatest Common Divisor of 361, 698, 978, 890 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 361, 698, 978, 890
The greatest common divisor of numbers 361, 698, 978, 890 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 698, 978, 890 is 1.
1. What is the GCD of 361, 698, 978, 890?
GCD of given numbers 361, 698, 978, 890 is 1
2. How to calculate the greatest common divisor of 361, 698, 978, 890?
We can find the highest common divisor of 361, 698, 978, 890 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 361, 698, 978, 890 i.e 1.
3. How can I use the GCD of 361, 698, 978, 890Calculator?
Out the numbers 361, 698, 978, 890 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.