Online GCD Calculator is useful to find the GCD of 271, 535, 174, 972 quickly. Get the easiest ways to solve the greatest common divisor of 271, 535, 174, 972 i.e 1 in different methods as follows.
Given Input numbers are 271, 535, 174, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 271 :
The positive integer divisors of 271 that completely divides 271 are.
1, 271
Divisors of 535 :
The positive integer divisors of 535 that completely divides 535 are.
1, 5, 107, 535
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
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
GCD of numbers is the greatest common divisor
So, the GCD (271, 535, 174, 972) = 1.
Given numbers are 271, 535, 174, 972
The list of prime factors of all numbers are
Prime factors of 271 are 271
Prime factors of 535 are 5 x 107
Prime factors of 174 are 2 x 3 x 29
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 271, 535, 174, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(271, 535) = 144985
GCD(271, 535) = ( 271 x 535 ) / 144985
= 271 / 535
= 271
Step2:
LCM(1, 174) = 174
GCD(1, 174) = ( 1 x 174 ) / 174
= 1 / 174
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 271, 535, 174, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 271, 535, 174, 972
The greatest common divisor of numbers 271, 535, 174, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 271, 535, 174, 972 is 1.
1. What is the GCD of 271, 535, 174, 972?
GCD of given numbers 271, 535, 174, 972 is 1
2. How to calculate the greatest common divisor of 271, 535, 174, 972?
We can find the highest common divisor of 271, 535, 174, 972 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 271, 535, 174, 972 i.e 1.
3. How can I use the GCD of 271, 535, 174, 972Calculator?
Out the numbers 271, 535, 174, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.