Online GCD Calculator is useful to find the GCD of 160, 342, 131, 177 quickly. Get the easiest ways to solve the greatest common divisor of 160, 342, 131, 177 i.e 1 in different methods as follows.
Given Input numbers are 160, 342, 131, 177
In the factoring method, we have to find the divisors of all numbers
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 131 :
The positive integer divisors of 131 that completely divides 131 are.
1, 131
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
GCD of numbers is the greatest common divisor
So, the GCD (160, 342, 131, 177) = 1.
Given numbers are 160, 342, 131, 177
The list of prime factors of all numbers are
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 131 are 131
Prime factors of 177 are 3 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 160, 342, 131, 177
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(160, 342) = 27360
GCD(160, 342) = ( 160 x 342 ) / 27360
= 160 / 342
= 160
Step2:
LCM(2, 131) = 262
GCD(2, 131) = ( 2 x 131 ) / 262
= 2 / 131
= 2
Step3:
LCM(1, 177) = 177
GCD(1, 177) = ( 1 x 177 ) / 177
= 1 / 177
= 1
So, Greatest Common Divisor of 160, 342, 131, 177 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 160, 342, 131, 177
The greatest common divisor of numbers 160, 342, 131, 177 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 342, 131, 177 is 1.
1. What is the GCD of 160, 342, 131, 177?
GCD of given numbers 160, 342, 131, 177 is 1
2. How to calculate the greatest common divisor of 160, 342, 131, 177?
We can find the highest common divisor of 160, 342, 131, 177 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 160, 342, 131, 177 i.e 1.
3. How can I use the GCD of 160, 342, 131, 177Calculator?
Out the numbers 160, 342, 131, 177 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.