Online GCD Calculator is useful to find the GCD of 101, 871, 729, 252 quickly. Get the easiest ways to solve the greatest common divisor of 101, 871, 729, 252 i.e 1 in different methods as follows.
Given Input numbers are 101, 871, 729, 252
In the factoring method, we have to find the divisors of all numbers
Divisors of 101 :
The positive integer divisors of 101 that completely divides 101 are.
1, 101
Divisors of 871 :
The positive integer divisors of 871 that completely divides 871 are.
1, 13, 67, 871
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
GCD of numbers is the greatest common divisor
So, the GCD (101, 871, 729, 252) = 1.
Given numbers are 101, 871, 729, 252
The list of prime factors of all numbers are
Prime factors of 101 are 101
Prime factors of 871 are 13 x 67
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 101, 871, 729, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(101, 871) = 87971
GCD(101, 871) = ( 101 x 871 ) / 87971
= 101 / 871
= 101
Step2:
LCM(1, 729) = 729
GCD(1, 729) = ( 1 x 729 ) / 729
= 1 / 729
= 1
Step3:
LCM(1, 252) = 252
GCD(1, 252) = ( 1 x 252 ) / 252
= 1 / 252
= 1
So, Greatest Common Divisor of 101, 871, 729, 252 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 101, 871, 729, 252
The greatest common divisor of numbers 101, 871, 729, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 101, 871, 729, 252 is 1.
1. What is the GCD of 101, 871, 729, 252?
GCD of given numbers 101, 871, 729, 252 is 1
2. How to calculate the greatest common divisor of 101, 871, 729, 252?
We can find the highest common divisor of 101, 871, 729, 252 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 101, 871, 729, 252 i.e 1.
3. How can I use the GCD of 101, 871, 729, 252Calculator?
Out the numbers 101, 871, 729, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.