Online GCD Calculator is useful to find the GCD of 345, 972, 159, 340 quickly. Get the easiest ways to solve the greatest common divisor of 345, 972, 159, 340 i.e 1 in different methods as follows.
Given Input numbers are 345, 972, 159, 340
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
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
GCD of numbers is the greatest common divisor
So, the GCD (345, 972, 159, 340) = 1.
Given numbers are 345, 972, 159, 340
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 159 are 3 x 53
Prime factors of 340 are 2 x 2 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 345, 972, 159, 340
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 972) = 111780
GCD(345, 972) = ( 345 x 972 ) / 111780
= 345 / 972
= 345
Step2:
LCM(3, 159) = 159
GCD(3, 159) = ( 3 x 159 ) / 159
= 3 / 159
= 3
Step3:
LCM(3, 340) = 1020
GCD(3, 340) = ( 3 x 340 ) / 1020
= 3 / 340
= 3
So, Greatest Common Divisor of 345, 972, 159, 340 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 972, 159, 340
The greatest common divisor of numbers 345, 972, 159, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 972, 159, 340 is 1.
1. What is the GCD of 345, 972, 159, 340?
GCD of given numbers 345, 972, 159, 340 is 1
2. How to calculate the greatest common divisor of 345, 972, 159, 340?
We can find the highest common divisor of 345, 972, 159, 340 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 345, 972, 159, 340 i.e 1.
3. How can I use the GCD of 345, 972, 159, 340Calculator?
Out the numbers 345, 972, 159, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.