Online GCD Calculator is useful to find the GCD of 142, 958, 460, 414 quickly. Get the easiest ways to solve the greatest common divisor of 142, 958, 460, 414 i.e 2 in different methods as follows.
Given Input numbers are 142, 958, 460, 414
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 958 :
The positive integer divisors of 958 that completely divides 958 are.
1, 2, 479, 958
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
GCD of numbers is the greatest common divisor
So, the GCD (142, 958, 460, 414) = 2.
Given numbers are 142, 958, 460, 414
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 958 are 2 x 479
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 414 are 2 x 3 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 142, 958, 460, 414 is 2.
Given numbers are 142, 958, 460, 414
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 958) = 68018
GCD(142, 958) = ( 142 x 958 ) / 68018
= 142 / 958
= 142
Step2:
LCM(2, 460) = 460
GCD(2, 460) = ( 2 x 460 ) / 460
= 2 / 460
= 2
Step3:
LCM(2, 414) = 414
GCD(2, 414) = ( 2 x 414 ) / 414
= 2 / 414
= 2
So, Greatest Common Divisor of 142, 958, 460, 414 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 958, 460, 414
The greatest common divisor of numbers 142, 958, 460, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 958, 460, 414 is 2.
1. What is the GCD of 142, 958, 460, 414?
GCD of given numbers 142, 958, 460, 414 is 2
2. How to calculate the greatest common divisor of 142, 958, 460, 414?
We can find the highest common divisor of 142, 958, 460, 414 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, 958, 460, 414 i.e 2.
3. How can I use the GCD of 142, 958, 460, 414Calculator?
Out the numbers 142, 958, 460, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.