Online GCD Calculator is useful to find the GCD of 918, 532, 296, 309 quickly. Get the easiest ways to solve the greatest common divisor of 918, 532, 296, 309 i.e 1 in different methods as follows.
Given Input numbers are 918, 532, 296, 309
In the factoring method, we have to find the divisors of all numbers
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
GCD of numbers is the greatest common divisor
So, the GCD (918, 532, 296, 309) = 1.
Given numbers are 918, 532, 296, 309
The list of prime factors of all numbers are
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 296 are 2 x 2 x 2 x 37
Prime factors of 309 are 3 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 918, 532, 296, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(918, 532) = 244188
GCD(918, 532) = ( 918 x 532 ) / 244188
= 918 / 532
= 918
Step2:
LCM(2, 296) = 296
GCD(2, 296) = ( 2 x 296 ) / 296
= 2 / 296
= 2
Step3:
LCM(2, 309) = 618
GCD(2, 309) = ( 2 x 309 ) / 618
= 2 / 309
= 2
So, Greatest Common Divisor of 918, 532, 296, 309 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 918, 532, 296, 309
The greatest common divisor of numbers 918, 532, 296, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 532, 296, 309 is 1.
1. What is the GCD of 918, 532, 296, 309?
GCD of given numbers 918, 532, 296, 309 is 1
2. How to calculate the greatest common divisor of 918, 532, 296, 309?
We can find the highest common divisor of 918, 532, 296, 309 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 918, 532, 296, 309 i.e 1.
3. How can I use the GCD of 918, 532, 296, 309Calculator?
Out the numbers 918, 532, 296, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.