Online GCD Calculator is useful to find the GCD of 288, 742, 971, 897 quickly. Get the easiest ways to solve the greatest common divisor of 288, 742, 971, 897 i.e 1 in different methods as follows.
Given Input numbers are 288, 742, 971, 897
In the factoring method, we have to find the divisors of all numbers
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
Divisors of 897 :
The positive integer divisors of 897 that completely divides 897 are.
1, 3, 13, 23, 39, 69, 299, 897
GCD of numbers is the greatest common divisor
So, the GCD (288, 742, 971, 897) = 1.
Given numbers are 288, 742, 971, 897
The list of prime factors of all numbers are
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 742 are 2 x 7 x 53
Prime factors of 971 are 971
Prime factors of 897 are 3 x 13 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 288, 742, 971, 897
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(288, 742) = 106848
GCD(288, 742) = ( 288 x 742 ) / 106848
= 288 / 742
= 288
Step2:
LCM(2, 971) = 1942
GCD(2, 971) = ( 2 x 971 ) / 1942
= 2 / 971
= 2
Step3:
LCM(1, 897) = 897
GCD(1, 897) = ( 1 x 897 ) / 897
= 1 / 897
= 1
So, Greatest Common Divisor of 288, 742, 971, 897 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 288, 742, 971, 897
The greatest common divisor of numbers 288, 742, 971, 897 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 742, 971, 897 is 1.
1. What is the GCD of 288, 742, 971, 897?
GCD of given numbers 288, 742, 971, 897 is 1
2. How to calculate the greatest common divisor of 288, 742, 971, 897?
We can find the highest common divisor of 288, 742, 971, 897 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 288, 742, 971, 897 i.e 1.
3. How can I use the GCD of 288, 742, 971, 897Calculator?
Out the numbers 288, 742, 971, 897 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.