Online GCD Calculator is useful to find the GCD of 369, 370, 831, 414 quickly. Get the easiest ways to solve the greatest common divisor of 369, 370, 831, 414 i.e 1 in different methods as follows.
Given Input numbers are 369, 370, 831, 414
In the factoring method, we have to find the divisors of all numbers
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 831 :
The positive integer divisors of 831 that completely divides 831 are.
1, 3, 277, 831
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
GCD of numbers is the greatest common divisor
So, the GCD (369, 370, 831, 414) = 1.
Given numbers are 369, 370, 831, 414
The list of prime factors of all numbers are
Prime factors of 369 are 3 x 3 x 41
Prime factors of 370 are 2 x 5 x 37
Prime factors of 831 are 3 x 277
Prime factors of 414 are 2 x 3 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 369, 370, 831, 414
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(369, 370) = 136530
GCD(369, 370) = ( 369 x 370 ) / 136530
= 369 / 370
= 369
Step2:
LCM(1, 831) = 831
GCD(1, 831) = ( 1 x 831 ) / 831
= 1 / 831
= 1
Step3:
LCM(1, 414) = 414
GCD(1, 414) = ( 1 x 414 ) / 414
= 1 / 414
= 1
So, Greatest Common Divisor of 369, 370, 831, 414 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 369, 370, 831, 414
The greatest common divisor of numbers 369, 370, 831, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 370, 831, 414 is 1.
1. What is the GCD of 369, 370, 831, 414?
GCD of given numbers 369, 370, 831, 414 is 1
2. How to calculate the greatest common divisor of 369, 370, 831, 414?
We can find the highest common divisor of 369, 370, 831, 414 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 369, 370, 831, 414 i.e 1.
3. How can I use the GCD of 369, 370, 831, 414Calculator?
Out the numbers 369, 370, 831, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.