Online GCD Calculator is useful to find the GCD of 114, 161, 961, 142 quickly. Get the easiest ways to solve the greatest common divisor of 114, 161, 961, 142 i.e 1 in different methods as follows.
Given Input numbers are 114, 161, 961, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 161 :
The positive integer divisors of 161 that completely divides 161 are.
1, 7, 23, 161
Divisors of 961 :
The positive integer divisors of 961 that completely divides 961 are.
1, 31, 961
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (114, 161, 961, 142) = 1.
Given numbers are 114, 161, 961, 142
The list of prime factors of all numbers are
Prime factors of 114 are 2 x 3 x 19
Prime factors of 161 are 7 x 23
Prime factors of 961 are 31 x 31
Prime factors of 142 are 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 114, 161, 961, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(114, 161) = 18354
GCD(114, 161) = ( 114 x 161 ) / 18354
= 114 / 161
= 114
Step2:
LCM(1, 961) = 961
GCD(1, 961) = ( 1 x 961 ) / 961
= 1 / 961
= 1
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 114, 161, 961, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 114, 161, 961, 142
The greatest common divisor of numbers 114, 161, 961, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 161, 961, 142 is 1.
1. What is the GCD of 114, 161, 961, 142?
GCD of given numbers 114, 161, 961, 142 is 1
2. How to calculate the greatest common divisor of 114, 161, 961, 142?
We can find the highest common divisor of 114, 161, 961, 142 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 114, 161, 961, 142 i.e 1.
3. How can I use the GCD of 114, 161, 961, 142Calculator?
Out the numbers 114, 161, 961, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.