Online GCD Calculator is useful to find the GCD of 871, 401, 540, 420 quickly. Get the easiest ways to solve the greatest common divisor of 871, 401, 540, 420 i.e 1 in different methods as follows.
Given Input numbers are 871, 401, 540, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 871 :
The positive integer divisors of 871 that completely divides 871 are.
1, 13, 67, 871
Divisors of 401 :
The positive integer divisors of 401 that completely divides 401 are.
1, 401
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (871, 401, 540, 420) = 1.
Given numbers are 871, 401, 540, 420
The list of prime factors of all numbers are
Prime factors of 871 are 13 x 67
Prime factors of 401 are 401
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 871, 401, 540, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(871, 401) = 349271
GCD(871, 401) = ( 871 x 401 ) / 349271
= 871 / 401
= 871
Step2:
LCM(1, 540) = 540
GCD(1, 540) = ( 1 x 540 ) / 540
= 1 / 540
= 1
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 871, 401, 540, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 871, 401, 540, 420
The greatest common divisor of numbers 871, 401, 540, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 401, 540, 420 is 1.
1. What is the GCD of 871, 401, 540, 420?
GCD of given numbers 871, 401, 540, 420 is 1
2. How to calculate the greatest common divisor of 871, 401, 540, 420?
We can find the highest common divisor of 871, 401, 540, 420 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 871, 401, 540, 420 i.e 1.
3. How can I use the GCD of 871, 401, 540, 420Calculator?
Out the numbers 871, 401, 540, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.