Online GCD Calculator is useful to find the GCD of 142, 168, 687, 174 quickly. Get the easiest ways to solve the greatest common divisor of 142, 168, 687, 174 i.e 1 in different methods as follows.
Given Input numbers are 142, 168, 687, 174
In the factoring method, we have to find the divisors of all numbers
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
GCD of numbers is the greatest common divisor
So, the GCD (142, 168, 687, 174) = 1.
Given numbers are 142, 168, 687, 174
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 687 are 3 x 229
Prime factors of 174 are 2 x 3 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 142, 168, 687, 174
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 168) = 11928
GCD(142, 168) = ( 142 x 168 ) / 11928
= 142 / 168
= 142
Step2:
LCM(2, 687) = 1374
GCD(2, 687) = ( 2 x 687 ) / 1374
= 2 / 687
= 2
Step3:
LCM(1, 174) = 174
GCD(1, 174) = ( 1 x 174 ) / 174
= 1 / 174
= 1
So, Greatest Common Divisor of 142, 168, 687, 174 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 168, 687, 174
The greatest common divisor of numbers 142, 168, 687, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 168, 687, 174 is 1.
1. What is the GCD of 142, 168, 687, 174?
GCD of given numbers 142, 168, 687, 174 is 1
2. How to calculate the greatest common divisor of 142, 168, 687, 174?
We can find the highest common divisor of 142, 168, 687, 174 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 142, 168, 687, 174 i.e 1.
3. How can I use the GCD of 142, 168, 687, 174Calculator?
Out the numbers 142, 168, 687, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.