Online GCD Calculator is useful to find the GCD of 984, 697, 175, 272 quickly. Get the easiest ways to solve the greatest common divisor of 984, 697, 175, 272 i.e 1 in different methods as follows.
Given Input numbers are 984, 697, 175, 272
In the factoring method, we have to find the divisors of all numbers
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (984, 697, 175, 272) = 1.
Given numbers are 984, 697, 175, 272
The list of prime factors of all numbers are
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 697 are 17 x 41
Prime factors of 175 are 5 x 5 x 7
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 984, 697, 175, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(984, 697) = 16728
GCD(984, 697) = ( 984 x 697 ) / 16728
= 984 / 697
= 984
Step2:
LCM(41, 175) = 7175
GCD(41, 175) = ( 41 x 175 ) / 7175
= 41 / 175
= 41
Step3:
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
= 1 / 272
= 1
So, Greatest Common Divisor of 984, 697, 175, 272 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 984, 697, 175, 272
The greatest common divisor of numbers 984, 697, 175, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 697, 175, 272 is 1.
1. What is the GCD of 984, 697, 175, 272?
GCD of given numbers 984, 697, 175, 272 is 1
2. How to calculate the greatest common divisor of 984, 697, 175, 272?
We can find the highest common divisor of 984, 697, 175, 272 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 984, 697, 175, 272 i.e 1.
3. How can I use the GCD of 984, 697, 175, 272Calculator?
Out the numbers 984, 697, 175, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.