Online GCD Calculator is useful to find the GCD of 724, 972, 388, 249 quickly. Get the easiest ways to solve the greatest common divisor of 724, 972, 388, 249 i.e 1 in different methods as follows.
Given Input numbers are 724, 972, 388, 249
In the factoring method, we have to find the divisors of all numbers
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 388 :
The positive integer divisors of 388 that completely divides 388 are.
1, 2, 4, 97, 194, 388
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
GCD of numbers is the greatest common divisor
So, the GCD (724, 972, 388, 249) = 1.
Given numbers are 724, 972, 388, 249
The list of prime factors of all numbers are
Prime factors of 724 are 2 x 2 x 181
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 388 are 2 x 2 x 97
Prime factors of 249 are 3 x 83
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 724, 972, 388, 249
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(724, 972) = 175932
GCD(724, 972) = ( 724 x 972 ) / 175932
= 724 / 972
= 724
Step2:
LCM(4, 388) = 388
GCD(4, 388) = ( 4 x 388 ) / 388
= 4 / 388
= 4
Step3:
LCM(4, 249) = 996
GCD(4, 249) = ( 4 x 249 ) / 996
= 4 / 249
= 4
So, Greatest Common Divisor of 724, 972, 388, 249 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 724, 972, 388, 249
The greatest common divisor of numbers 724, 972, 388, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 972, 388, 249 is 1.
1. What is the GCD of 724, 972, 388, 249?
GCD of given numbers 724, 972, 388, 249 is 1
2. How to calculate the greatest common divisor of 724, 972, 388, 249?
We can find the highest common divisor of 724, 972, 388, 249 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 724, 972, 388, 249 i.e 1.
3. How can I use the GCD of 724, 972, 388, 249Calculator?
Out the numbers 724, 972, 388, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.