Online GCD Calculator is useful to find the GCD of 357, 205, 321, 986 quickly. Get the easiest ways to solve the greatest common divisor of 357, 205, 321, 986 i.e 1 in different methods as follows.
Given Input numbers are 357, 205, 321, 986
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 205 :
The positive integer divisors of 205 that completely divides 205 are.
1, 5, 41, 205
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
GCD of numbers is the greatest common divisor
So, the GCD (357, 205, 321, 986) = 1.
Given numbers are 357, 205, 321, 986
The list of prime factors of all numbers are
Prime factors of 357 are 3 x 7 x 17
Prime factors of 205 are 5 x 41
Prime factors of 321 are 3 x 107
Prime factors of 986 are 2 x 17 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 357, 205, 321, 986
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(357, 205) = 73185
GCD(357, 205) = ( 357 x 205 ) / 73185
= 357 / 205
= 357
Step2:
LCM(1, 321) = 321
GCD(1, 321) = ( 1 x 321 ) / 321
= 1 / 321
= 1
Step3:
LCM(1, 986) = 986
GCD(1, 986) = ( 1 x 986 ) / 986
= 1 / 986
= 1
So, Greatest Common Divisor of 357, 205, 321, 986 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 357, 205, 321, 986
The greatest common divisor of numbers 357, 205, 321, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 205, 321, 986 is 1.
1. What is the GCD of 357, 205, 321, 986?
GCD of given numbers 357, 205, 321, 986 is 1
2. How to calculate the greatest common divisor of 357, 205, 321, 986?
We can find the highest common divisor of 357, 205, 321, 986 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, 205, 321, 986 i.e 1.
3. How can I use the GCD of 357, 205, 321, 986Calculator?
Out the numbers 357, 205, 321, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.