Online GCD Calculator is useful to find the GCD of 916, 198, 336, 747 quickly. Get the easiest ways to solve the greatest common divisor of 916, 198, 336, 747 i.e 1 in different methods as follows.
Given Input numbers are 916, 198, 336, 747
In the factoring method, we have to find the divisors of all numbers
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
GCD of numbers is the greatest common divisor
So, the GCD (916, 198, 336, 747) = 1.
Given numbers are 916, 198, 336, 747
The list of prime factors of all numbers are
Prime factors of 916 are 2 x 2 x 229
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 747 are 3 x 3 x 83
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 916, 198, 336, 747
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(916, 198) = 90684
GCD(916, 198) = ( 916 x 198 ) / 90684
= 916 / 198
= 916
Step2:
LCM(2, 336) = 336
GCD(2, 336) = ( 2 x 336 ) / 336
= 2 / 336
= 2
Step3:
LCM(2, 747) = 1494
GCD(2, 747) = ( 2 x 747 ) / 1494
= 2 / 747
= 2
So, Greatest Common Divisor of 916, 198, 336, 747 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 916, 198, 336, 747
The greatest common divisor of numbers 916, 198, 336, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 198, 336, 747 is 1.
1. What is the GCD of 916, 198, 336, 747?
GCD of given numbers 916, 198, 336, 747 is 1
2. How to calculate the greatest common divisor of 916, 198, 336, 747?
We can find the highest common divisor of 916, 198, 336, 747 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 916, 198, 336, 747 i.e 1.
3. How can I use the GCD of 916, 198, 336, 747Calculator?
Out the numbers 916, 198, 336, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.