Online GCD Calculator is useful to find the GCD of 897, 368, 584, 172 quickly. Get the easiest ways to solve the greatest common divisor of 897, 368, 584, 172 i.e 1 in different methods as follows.
Given Input numbers are 897, 368, 584, 172
In the factoring method, we have to find the divisors of all numbers
Divisors of 897 :
The positive integer divisors of 897 that completely divides 897 are.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (897, 368, 584, 172) = 1.
Given numbers are 897, 368, 584, 172
The list of prime factors of all numbers are
Prime factors of 897 are 3 x 13 x 23
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 172 are 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 897, 368, 584, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(897, 368) = 14352
GCD(897, 368) = ( 897 x 368 ) / 14352
= 897 / 368
= 897
Step2:
LCM(23, 584) = 13432
GCD(23, 584) = ( 23 x 584 ) / 13432
= 23 / 584
= 23
Step3:
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
= 1 / 172
= 1
So, Greatest Common Divisor of 897, 368, 584, 172 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 897, 368, 584, 172
The greatest common divisor of numbers 897, 368, 584, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 368, 584, 172 is 1.
1. What is the GCD of 897, 368, 584, 172?
GCD of given numbers 897, 368, 584, 172 is 1
2. How to calculate the greatest common divisor of 897, 368, 584, 172?
We can find the highest common divisor of 897, 368, 584, 172 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 897, 368, 584, 172 i.e 1.
3. How can I use the GCD of 897, 368, 584, 172Calculator?
Out the numbers 897, 368, 584, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.