Online GCD Calculator is useful to find the GCD of 273, 102, 731, 918 quickly. Get the easiest ways to solve the greatest common divisor of 273, 102, 731, 918 i.e 1 in different methods as follows.
Given Input numbers are 273, 102, 731, 918
In the factoring method, we have to find the divisors of all numbers
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
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
GCD of numbers is the greatest common divisor
So, the GCD (273, 102, 731, 918) = 1.
Given numbers are 273, 102, 731, 918
The list of prime factors of all numbers are
Prime factors of 273 are 3 x 7 x 13
Prime factors of 102 are 2 x 3 x 17
Prime factors of 731 are 17 x 43
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 273, 102, 731, 918
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(273, 102) = 9282
GCD(273, 102) = ( 273 x 102 ) / 9282
= 273 / 102
= 273
Step2:
LCM(3, 731) = 2193
GCD(3, 731) = ( 3 x 731 ) / 2193
= 3 / 731
= 3
Step3:
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
= 1 / 918
= 1
So, Greatest Common Divisor of 273, 102, 731, 918 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 273, 102, 731, 918
The greatest common divisor of numbers 273, 102, 731, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 273, 102, 731, 918 is 1.
1. What is the GCD of 273, 102, 731, 918?
GCD of given numbers 273, 102, 731, 918 is 1
2. How to calculate the greatest common divisor of 273, 102, 731, 918?
We can find the highest common divisor of 273, 102, 731, 918 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 273, 102, 731, 918 i.e 1.
3. How can I use the GCD of 273, 102, 731, 918Calculator?
Out the numbers 273, 102, 731, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.