Online GCD Calculator is useful to find the GCD of 421, 200, 540, 397 quickly. Get the easiest ways to solve the greatest common divisor of 421, 200, 540, 397 i.e 1 in different methods as follows.
Given Input numbers are 421, 200, 540, 397
In the factoring method, we have to find the divisors of all numbers
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
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 397 :
The positive integer divisors of 397 that completely divides 397 are.
1, 397
GCD of numbers is the greatest common divisor
So, the GCD (421, 200, 540, 397) = 1.
Given numbers are 421, 200, 540, 397
The list of prime factors of all numbers are
Prime factors of 421 are 421
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 397 are 397
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 421, 200, 540, 397
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(421, 200) = 84200
GCD(421, 200) = ( 421 x 200 ) / 84200
= 421 / 200
= 421
Step2:
LCM(1, 540) = 540
GCD(1, 540) = ( 1 x 540 ) / 540
= 1 / 540
= 1
Step3:
LCM(1, 397) = 397
GCD(1, 397) = ( 1 x 397 ) / 397
= 1 / 397
= 1
So, Greatest Common Divisor of 421, 200, 540, 397 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 421, 200, 540, 397
The greatest common divisor of numbers 421, 200, 540, 397 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 421, 200, 540, 397 is 1.
1. What is the GCD of 421, 200, 540, 397?
GCD of given numbers 421, 200, 540, 397 is 1
2. How to calculate the greatest common divisor of 421, 200, 540, 397?
We can find the highest common divisor of 421, 200, 540, 397 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 421, 200, 540, 397 i.e 1.
3. How can I use the GCD of 421, 200, 540, 397Calculator?
Out the numbers 421, 200, 540, 397 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.