Online GCD Calculator is useful to find the GCD of 958, 188, 280, 142 quickly. Get the easiest ways to solve the greatest common divisor of 958, 188, 280, 142 i.e 2 in different methods as follows.
Given Input numbers are 958, 188, 280, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 958 :
The positive integer divisors of 958 that completely divides 958 are.
1, 2, 479, 958
Divisors of 188 :
The positive integer divisors of 188 that completely divides 188 are.
1, 2, 4, 47, 94, 188
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
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 (958, 188, 280, 142) = 2.
Given numbers are 958, 188, 280, 142
The list of prime factors of all numbers are
Prime factors of 958 are 2 x 479
Prime factors of 188 are 2 x 2 x 47
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 142 are 2 x 71
The highest common occurrence is 21
Therefore, GCD of 958, 188, 280, 142 is 2.
Given numbers are 958, 188, 280, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(958, 188) = 90052
GCD(958, 188) = ( 958 x 188 ) / 90052
= 958 / 188
= 958
Step2:
LCM(2, 280) = 280
GCD(2, 280) = ( 2 x 280 ) / 280
= 2 / 280
= 2
Step3:
LCM(2, 142) = 142
GCD(2, 142) = ( 2 x 142 ) / 142
= 2 / 142
= 2
So, Greatest Common Divisor of 958, 188, 280, 142 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 958, 188, 280, 142
The greatest common divisor of numbers 958, 188, 280, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 958, 188, 280, 142 is 2.
1. What is the GCD of 958, 188, 280, 142?
GCD of given numbers 958, 188, 280, 142 is 2
2. How to calculate the greatest common divisor of 958, 188, 280, 142?
We can find the highest common divisor of 958, 188, 280, 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 958, 188, 280, 142 i.e 2.
3. How can I use the GCD of 958, 188, 280, 142Calculator?
Out the numbers 958, 188, 280, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.