Online GCD Calculator is useful to find the GCD of 958, 104, 842, 900 quickly. Get the easiest ways to solve the greatest common divisor of 958, 104, 842, 900 i.e 2 in different methods as follows.
Given Input numbers are 958, 104, 842, 900
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 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
GCD of numbers is the greatest common divisor
So, the GCD (958, 104, 842, 900) = 2.
Given numbers are 958, 104, 842, 900
The list of prime factors of all numbers are
Prime factors of 958 are 2 x 479
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 842 are 2 x 421
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 958, 104, 842, 900 is 2.
Given numbers are 958, 104, 842, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(958, 104) = 49816
GCD(958, 104) = ( 958 x 104 ) / 49816
= 958 / 104
= 958
Step2:
LCM(2, 842) = 842
GCD(2, 842) = ( 2 x 842 ) / 842
= 2 / 842
= 2
Step3:
LCM(2, 900) = 900
GCD(2, 900) = ( 2 x 900 ) / 900
= 2 / 900
= 2
So, Greatest Common Divisor of 958, 104, 842, 900 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 958, 104, 842, 900
The greatest common divisor of numbers 958, 104, 842, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 958, 104, 842, 900 is 2.
1. What is the GCD of 958, 104, 842, 900?
GCD of given numbers 958, 104, 842, 900 is 2
2. How to calculate the greatest common divisor of 958, 104, 842, 900?
We can find the highest common divisor of 958, 104, 842, 900 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, 104, 842, 900 i.e 2.
3. How can I use the GCD of 958, 104, 842, 900Calculator?
Out the numbers 958, 104, 842, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.