Online GCD Calculator is useful to find the GCD of 175, 142, 114 quickly. Get the easiest ways to solve the greatest common divisor of 175, 142, 114 i.e 1 in different methods as follows.
Given Input numbers are 175, 142, 114
In the factoring method, we have to find the divisors of all numbers
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
GCD of numbers is the greatest common divisor
So, the GCD (175, 142, 114) = 1.
Given numbers are 175, 142, 114
The list of prime factors of all numbers are
Prime factors of 175 are 5 x 5 x 7
Prime factors of 142 are 2 x 71
Prime factors of 114 are 2 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 175, 142, 114
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(175, 142) = 24850
GCD(175, 142) = ( 175 x 142 ) / 24850
= 175 / 142
= 175
Step2:
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
= 1 / 114
= 1
So, Greatest Common Divisor of 175, 142, 114 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 175, 142, 114
The greatest common divisor of numbers 175, 142, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 175, 142, 114 is 1.
1. What is the GCD of 175, 142, 114?
GCD of given numbers 175, 142, 114 is 1
2. How to calculate the greatest common divisor of 175, 142, 114?
We can find the highest common divisor of 175, 142, 114 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 175, 142, 114 i.e 1.
3. How can I use the GCD of 175, 142, 114Calculator?
Out the numbers 175, 142, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.