Online GCD Calculator is useful to find the GCD of 357, 891, 361, 698 quickly. Get the easiest ways to solve the greatest common divisor of 357, 891, 361, 698 i.e 1 in different methods as follows.
Given Input numbers are 357, 891, 361, 698
In the factoring method, we have to find the divisors of all numbers
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 891 :
The positive integer divisors of 891 that completely divides 891 are.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
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
GCD of numbers is the greatest common divisor
So, the GCD (357, 891, 361, 698) = 1.
Given numbers are 357, 891, 361, 698
The list of prime factors of all numbers are
Prime factors of 357 are 3 x 7 x 17
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
Prime factors of 361 are 19 x 19
Prime factors of 698 are 2 x 349
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 357, 891, 361, 698
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(357, 891) = 106029
GCD(357, 891) = ( 357 x 891 ) / 106029
= 357 / 891
= 357
Step2:
LCM(3, 361) = 1083
GCD(3, 361) = ( 3 x 361 ) / 1083
= 3 / 361
= 3
Step3:
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
= 1 / 698
= 1
So, Greatest Common Divisor of 357, 891, 361, 698 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 357, 891, 361, 698
The greatest common divisor of numbers 357, 891, 361, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 891, 361, 698 is 1.
1. What is the GCD of 357, 891, 361, 698?
GCD of given numbers 357, 891, 361, 698 is 1
2. How to calculate the greatest common divisor of 357, 891, 361, 698?
We can find the highest common divisor of 357, 891, 361, 698 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 357, 891, 361, 698 i.e 1.
3. How can I use the GCD of 357, 891, 361, 698Calculator?
Out the numbers 357, 891, 361, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.