Online GCD Calculator is useful to find the GCD of 217, 142, 158, 345 quickly. Get the easiest ways to solve the greatest common divisor of 217, 142, 158, 345 i.e 1 in different methods as follows.
Given Input numbers are 217, 142, 158, 345
In the factoring method, we have to find the divisors of all numbers
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 158 :
The positive integer divisors of 158 that completely divides 158 are.
1, 2, 79, 158
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
GCD of numbers is the greatest common divisor
So, the GCD (217, 142, 158, 345) = 1.
Given numbers are 217, 142, 158, 345
The list of prime factors of all numbers are
Prime factors of 217 are 7 x 31
Prime factors of 142 are 2 x 71
Prime factors of 158 are 2 x 79
Prime factors of 345 are 3 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 217, 142, 158, 345
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(217, 142) = 30814
GCD(217, 142) = ( 217 x 142 ) / 30814
= 217 / 142
= 217
Step2:
LCM(1, 158) = 158
GCD(1, 158) = ( 1 x 158 ) / 158
= 1 / 158
= 1
Step3:
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
= 1 / 345
= 1
So, Greatest Common Divisor of 217, 142, 158, 345 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 217, 142, 158, 345
The greatest common divisor of numbers 217, 142, 158, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 217, 142, 158, 345 is 1.
1. What is the GCD of 217, 142, 158, 345?
GCD of given numbers 217, 142, 158, 345 is 1
2. How to calculate the greatest common divisor of 217, 142, 158, 345?
We can find the highest common divisor of 217, 142, 158, 345 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 217, 142, 158, 345 i.e 1.
3. How can I use the GCD of 217, 142, 158, 345Calculator?
Out the numbers 217, 142, 158, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.