Online GCD Calculator is useful to find the GCD of 746, 520, 916, 836 quickly. Get the easiest ways to solve the greatest common divisor of 746, 520, 916, 836 i.e 2 in different methods as follows.
Given Input numbers are 746, 520, 916, 836
In the factoring method, we have to find the divisors of all numbers
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 836 :
The positive integer divisors of 836 that completely divides 836 are.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
GCD of numbers is the greatest common divisor
So, the GCD (746, 520, 916, 836) = 2.
Given numbers are 746, 520, 916, 836
The list of prime factors of all numbers are
Prime factors of 746 are 2 x 373
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 916 are 2 x 2 x 229
Prime factors of 836 are 2 x 2 x 11 x 19
The highest common occurrence is 21
Therefore, GCD of 746, 520, 916, 836 is 2.
Given numbers are 746, 520, 916, 836
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(746, 520) = 193960
GCD(746, 520) = ( 746 x 520 ) / 193960
= 746 / 520
= 746
Step2:
LCM(2, 916) = 916
GCD(2, 916) = ( 2 x 916 ) / 916
= 2 / 916
= 2
Step3:
LCM(2, 836) = 836
GCD(2, 836) = ( 2 x 836 ) / 836
= 2 / 836
= 2
So, Greatest Common Divisor of 746, 520, 916, 836 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 746, 520, 916, 836
The greatest common divisor of numbers 746, 520, 916, 836 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 520, 916, 836 is 2.
1. What is the GCD of 746, 520, 916, 836?
GCD of given numbers 746, 520, 916, 836 is 2
2. How to calculate the greatest common divisor of 746, 520, 916, 836?
We can find the highest common divisor of 746, 520, 916, 836 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 746, 520, 916, 836 i.e 2.
3. How can I use the GCD of 746, 520, 916, 836Calculator?
Out the numbers 746, 520, 916, 836 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.