Online GCD Calculator is useful to find the GCD of 296, 676, 916 quickly. Get the easiest ways to solve the greatest common divisor of 296, 676, 916 i.e 4 in different methods as follows.
Given Input numbers are 296, 676, 916
In the factoring method, we have to find the divisors of all numbers
Divisors of 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
GCD of numbers is the greatest common divisor
So, the GCD (296, 676, 916) = 4.
Given numbers are 296, 676, 916
The list of prime factors of all numbers are
Prime factors of 296 are 2 x 2 x 2 x 37
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 916 are 2 x 2 x 229
The highest common occurrence is 22
Therefore, GCD of 296, 676, 916 is 4.
Given numbers are 296, 676, 916
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(296, 676) = 50024
GCD(296, 676) = ( 296 x 676 ) / 50024
= 296 / 676
= 296
Step2:
LCM(4, 916) = 916
GCD(4, 916) = ( 4 x 916 ) / 916
= 4 / 916
= 4
So, Greatest Common Divisor of 296, 676, 916 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 296, 676, 916
The greatest common divisor of numbers 296, 676, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 676, 916 is 4.
1. What is the GCD of 296, 676, 916?
GCD of given numbers 296, 676, 916 is 4
2. How to calculate the greatest common divisor of 296, 676, 916?
We can find the highest common divisor of 296, 676, 916 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 296, 676, 916 i.e 4.
3. How can I use the GCD of 296, 676, 916Calculator?
Out the numbers 296, 676, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.