Online GCD Calculator is useful to find the GCD of 420, 383, 200, 353 quickly. Get the easiest ways to solve the greatest common divisor of 420, 383, 200, 353 i.e 1 in different methods as follows.
Given Input numbers are 420, 383, 200, 353
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 383 :
The positive integer divisors of 383 that completely divides 383 are.
1, 383
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 353 :
The positive integer divisors of 353 that completely divides 353 are.
1, 353
GCD of numbers is the greatest common divisor
So, the GCD (420, 383, 200, 353) = 1.
Given numbers are 420, 383, 200, 353
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 383 are 383
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 353 are 353
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 383, 200, 353
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 383) = 160860
GCD(420, 383) = ( 420 x 383 ) / 160860
= 420 / 383
= 420
Step2:
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
= 1 / 200
= 1
Step3:
LCM(1, 353) = 353
GCD(1, 353) = ( 1 x 353 ) / 353
= 1 / 353
= 1
So, Greatest Common Divisor of 420, 383, 200, 353 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 383, 200, 353
The greatest common divisor of numbers 420, 383, 200, 353 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 383, 200, 353 is 1.
1. What is the GCD of 420, 383, 200, 353?
GCD of given numbers 420, 383, 200, 353 is 1
2. How to calculate the greatest common divisor of 420, 383, 200, 353?
We can find the highest common divisor of 420, 383, 200, 353 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 420, 383, 200, 353 i.e 1.
3. How can I use the GCD of 420, 383, 200, 353Calculator?
Out the numbers 420, 383, 200, 353 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.