Online GCD Calculator is useful to find the GCD of 364, 371, 822, 117 quickly. Get the easiest ways to solve the greatest common divisor of 364, 371, 822, 117 i.e 1 in different methods as follows.
Given Input numbers are 364, 371, 822, 117
In the factoring method, we have to find the divisors of all numbers
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 371 :
The positive integer divisors of 371 that completely divides 371 are.
1, 7, 53, 371
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
GCD of numbers is the greatest common divisor
So, the GCD (364, 371, 822, 117) = 1.
Given numbers are 364, 371, 822, 117
The list of prime factors of all numbers are
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 371 are 7 x 53
Prime factors of 822 are 2 x 3 x 137
Prime factors of 117 are 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 364, 371, 822, 117
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(364, 371) = 19292
GCD(364, 371) = ( 364 x 371 ) / 19292
= 364 / 371
= 364
Step2:
LCM(7, 822) = 5754
GCD(7, 822) = ( 7 x 822 ) / 5754
= 7 / 822
= 7
Step3:
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
= 1 / 117
= 1
So, Greatest Common Divisor of 364, 371, 822, 117 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 364, 371, 822, 117
The greatest common divisor of numbers 364, 371, 822, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 371, 822, 117 is 1.
1. What is the GCD of 364, 371, 822, 117?
GCD of given numbers 364, 371, 822, 117 is 1
2. How to calculate the greatest common divisor of 364, 371, 822, 117?
We can find the highest common divisor of 364, 371, 822, 117 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 364, 371, 822, 117 i.e 1.
3. How can I use the GCD of 364, 371, 822, 117Calculator?
Out the numbers 364, 371, 822, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.