Online GCD Calculator is useful to find the GCD of 372, 670, 340, 105 quickly. Get the easiest ways to solve the greatest common divisor of 372, 670, 340, 105 i.e 1 in different methods as follows.
Given Input numbers are 372, 670, 340, 105
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 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
GCD of numbers is the greatest common divisor
So, the GCD (372, 670, 340, 105) = 1.
Given numbers are 372, 670, 340, 105
The list of prime factors of all numbers are
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 670 are 2 x 5 x 67
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 105 are 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 372, 670, 340, 105
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(372, 670) = 124620
GCD(372, 670) = ( 372 x 670 ) / 124620
= 372 / 670
= 372
Step2:
LCM(2, 340) = 340
GCD(2, 340) = ( 2 x 340 ) / 340
= 2 / 340
= 2
Step3:
LCM(2, 105) = 210
GCD(2, 105) = ( 2 x 105 ) / 210
= 2 / 105
= 2
So, Greatest Common Divisor of 372, 670, 340, 105 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 372, 670, 340, 105
The greatest common divisor of numbers 372, 670, 340, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 670, 340, 105 is 1.
1. What is the GCD of 372, 670, 340, 105?
GCD of given numbers 372, 670, 340, 105 is 1
2. How to calculate the greatest common divisor of 372, 670, 340, 105?
We can find the highest common divisor of 372, 670, 340, 105 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, 670, 340, 105 i.e 1.
3. How can I use the GCD of 372, 670, 340, 105Calculator?
Out the numbers 372, 670, 340, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.