Online GCD Calculator is useful to find the GCD of 372, 420, 313 quickly. Get the easiest ways to solve the greatest common divisor of 372, 420, 313 i.e 1 in different methods as follows.
Given Input numbers are 372, 420, 313
In the factoring method, we have to find the divisors of all numbers
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
GCD of numbers is the greatest common divisor
So, the GCD (372, 420, 313) = 1.
Given numbers are 372, 420, 313
The list of prime factors of all numbers are
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 313 are 313
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 372, 420, 313
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(372, 420) = 13020
GCD(372, 420) = ( 372 x 420 ) / 13020
= 372 / 420
= 372
Step2:
LCM(12, 313) = 3756
GCD(12, 313) = ( 12 x 313 ) / 3756
= 12 / 313
= 12
So, Greatest Common Divisor of 372, 420, 313 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 372, 420, 313
The greatest common divisor of numbers 372, 420, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 420, 313 is 1.
1. What is the GCD of 372, 420, 313?
GCD of given numbers 372, 420, 313 is 1
2. How to calculate the greatest common divisor of 372, 420, 313?
We can find the highest common divisor of 372, 420, 313 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 372, 420, 313 i.e 1.
3. How can I use the GCD of 372, 420, 313Calculator?
Out the numbers 372, 420, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.