Online GCD Calculator is useful to find the GCD of 116, 450, 412, 676 quickly. Get the easiest ways to solve the greatest common divisor of 116, 450, 412, 676 i.e 2 in different methods as follows.
Given Input numbers are 116, 450, 412, 676
In the factoring method, we have to find the divisors of all numbers
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
GCD of numbers is the greatest common divisor
So, the GCD (116, 450, 412, 676) = 2.
Given numbers are 116, 450, 412, 676
The list of prime factors of all numbers are
Prime factors of 116 are 2 x 2 x 29
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 412 are 2 x 2 x 103
Prime factors of 676 are 2 x 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 116, 450, 412, 676 is 2.
Given numbers are 116, 450, 412, 676
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(116, 450) = 26100
GCD(116, 450) = ( 116 x 450 ) / 26100
= 116 / 450
= 116
Step2:
LCM(2, 412) = 412
GCD(2, 412) = ( 2 x 412 ) / 412
= 2 / 412
= 2
Step3:
LCM(2, 676) = 676
GCD(2, 676) = ( 2 x 676 ) / 676
= 2 / 676
= 2
So, Greatest Common Divisor of 116, 450, 412, 676 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 116, 450, 412, 676
The greatest common divisor of numbers 116, 450, 412, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 450, 412, 676 is 2.
1. What is the GCD of 116, 450, 412, 676?
GCD of given numbers 116, 450, 412, 676 is 2
2. How to calculate the greatest common divisor of 116, 450, 412, 676?
We can find the highest common divisor of 116, 450, 412, 676 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 116, 450, 412, 676 i.e 2.
3. How can I use the GCD of 116, 450, 412, 676Calculator?
Out the numbers 116, 450, 412, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.