Online GCD Calculator is useful to find the GCD of 142, 984, 174, 418 quickly. Get the easiest ways to solve the greatest common divisor of 142, 984, 174, 418 i.e 2 in different methods as follows.
Given Input numbers are 142, 984, 174, 418
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 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 418 :
The positive integer divisors of 418 that completely divides 418 are.
1, 2, 11, 19, 22, 38, 209, 418
GCD of numbers is the greatest common divisor
So, the GCD (142, 984, 174, 418) = 2.
Given numbers are 142, 984, 174, 418
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 174 are 2 x 3 x 29
Prime factors of 418 are 2 x 11 x 19
The highest common occurrence is 21
Therefore, GCD of 142, 984, 174, 418 is 2.
Given numbers are 142, 984, 174, 418
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 984) = 69864
GCD(142, 984) = ( 142 x 984 ) / 69864
= 142 / 984
= 142
Step2:
LCM(2, 174) = 174
GCD(2, 174) = ( 2 x 174 ) / 174
= 2 / 174
= 2
Step3:
LCM(2, 418) = 418
GCD(2, 418) = ( 2 x 418 ) / 418
= 2 / 418
= 2
So, Greatest Common Divisor of 142, 984, 174, 418 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 984, 174, 418
The greatest common divisor of numbers 142, 984, 174, 418 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 984, 174, 418 is 2.
1. What is the GCD of 142, 984, 174, 418?
GCD of given numbers 142, 984, 174, 418 is 2
2. How to calculate the greatest common divisor of 142, 984, 174, 418?
We can find the highest common divisor of 142, 984, 174, 418 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, 984, 174, 418 i.e 2.
3. How can I use the GCD of 142, 984, 174, 418Calculator?
Out the numbers 142, 984, 174, 418 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.