Online GCD Calculator is useful to find the GCD of 108, 221, 724, 240 quickly. Get the easiest ways to solve the greatest common divisor of 108, 221, 724, 240 i.e 1 in different methods as follows.
Given Input numbers are 108, 221, 724, 240
In the factoring method, we have to find the divisors of all numbers
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
GCD of numbers is the greatest common divisor
So, the GCD (108, 221, 724, 240) = 1.
Given numbers are 108, 221, 724, 240
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 221 are 13 x 17
Prime factors of 724 are 2 x 2 x 181
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 108, 221, 724, 240
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 221) = 23868
GCD(108, 221) = ( 108 x 221 ) / 23868
= 108 / 221
= 108
Step2:
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
= 1 / 724
= 1
Step3:
LCM(1, 240) = 240
GCD(1, 240) = ( 1 x 240 ) / 240
= 1 / 240
= 1
So, Greatest Common Divisor of 108, 221, 724, 240 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 221, 724, 240
The greatest common divisor of numbers 108, 221, 724, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 221, 724, 240 is 1.
1. What is the GCD of 108, 221, 724, 240?
GCD of given numbers 108, 221, 724, 240 is 1
2. How to calculate the greatest common divisor of 108, 221, 724, 240?
We can find the highest common divisor of 108, 221, 724, 240 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 108, 221, 724, 240 i.e 1.
3. How can I use the GCD of 108, 221, 724, 240Calculator?
Out the numbers 108, 221, 724, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.