Online GCD Calculator is useful to find the GCD of 370, 496, 345, 120 quickly. Get the easiest ways to solve the greatest common divisor of 370, 496, 345, 120 i.e 1 in different methods as follows.
Given Input numbers are 370, 496, 345, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD of numbers is the greatest common divisor
So, the GCD (370, 496, 345, 120) = 1.
Given numbers are 370, 496, 345, 120
The list of prime factors of all numbers are
Prime factors of 370 are 2 x 5 x 37
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 345 are 3 x 5 x 23
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 370, 496, 345, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(370, 496) = 91760
GCD(370, 496) = ( 370 x 496 ) / 91760
= 370 / 496
= 370
Step2:
LCM(2, 345) = 690
GCD(2, 345) = ( 2 x 345 ) / 690
= 2 / 345
= 2
Step3:
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
= 1 / 120
= 1
So, Greatest Common Divisor of 370, 496, 345, 120 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 370, 496, 345, 120
The greatest common divisor of numbers 370, 496, 345, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 496, 345, 120 is 1.
1. What is the GCD of 370, 496, 345, 120?
GCD of given numbers 370, 496, 345, 120 is 1
2. How to calculate the greatest common divisor of 370, 496, 345, 120?
We can find the highest common divisor of 370, 496, 345, 120 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 370, 496, 345, 120 i.e 1.
3. How can I use the GCD of 370, 496, 345, 120Calculator?
Out the numbers 370, 496, 345, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.