Online GCD Calculator is useful to find the GCD of 271, 987, 429, 975 quickly. Get the easiest ways to solve the greatest common divisor of 271, 987, 429, 975 i.e 1 in different methods as follows.
Given Input numbers are 271, 987, 429, 975
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 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
GCD of numbers is the greatest common divisor
So, the GCD (271, 987, 429, 975) = 1.
Given numbers are 271, 987, 429, 975
The list of prime factors of all numbers are
Prime factors of 271 are 271
Prime factors of 987 are 3 x 7 x 47
Prime factors of 429 are 3 x 11 x 13
Prime factors of 975 are 3 x 5 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 271, 987, 429, 975
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(271, 987) = 267477
GCD(271, 987) = ( 271 x 987 ) / 267477
= 271 / 987
= 271
Step2:
LCM(1, 429) = 429
GCD(1, 429) = ( 1 x 429 ) / 429
= 1 / 429
= 1
Step3:
LCM(1, 975) = 975
GCD(1, 975) = ( 1 x 975 ) / 975
= 1 / 975
= 1
So, Greatest Common Divisor of 271, 987, 429, 975 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 271, 987, 429, 975
The greatest common divisor of numbers 271, 987, 429, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 271, 987, 429, 975 is 1.
1. What is the GCD of 271, 987, 429, 975?
GCD of given numbers 271, 987, 429, 975 is 1
2. How to calculate the greatest common divisor of 271, 987, 429, 975?
We can find the highest common divisor of 271, 987, 429, 975 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, 987, 429, 975 i.e 1.
3. How can I use the GCD of 271, 987, 429, 975Calculator?
Out the numbers 271, 987, 429, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.