Online GCD Calculator is useful to find the GCD of 243, 697, 270, 340 quickly. Get the easiest ways to solve the greatest common divisor of 243, 697, 270, 340 i.e 1 in different methods as follows.
Given Input numbers are 243, 697, 270, 340
In the factoring method, we have to find the divisors of all numbers
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
GCD of numbers is the greatest common divisor
So, the GCD (243, 697, 270, 340) = 1.
Given numbers are 243, 697, 270, 340
The list of prime factors of all numbers are
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
Prime factors of 697 are 17 x 41
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 340 are 2 x 2 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 243, 697, 270, 340
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(243, 697) = 169371
GCD(243, 697) = ( 243 x 697 ) / 169371
= 243 / 697
= 243
Step2:
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
= 1 / 270
= 1
Step3:
LCM(1, 340) = 340
GCD(1, 340) = ( 1 x 340 ) / 340
= 1 / 340
= 1
So, Greatest Common Divisor of 243, 697, 270, 340 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 243, 697, 270, 340
The greatest common divisor of numbers 243, 697, 270, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 697, 270, 340 is 1.
1. What is the GCD of 243, 697, 270, 340?
GCD of given numbers 243, 697, 270, 340 is 1
2. How to calculate the greatest common divisor of 243, 697, 270, 340?
We can find the highest common divisor of 243, 697, 270, 340 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 243, 697, 270, 340 i.e 1.
3. How can I use the GCD of 243, 697, 270, 340Calculator?
Out the numbers 243, 697, 270, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.