Online GCD Calculator is useful to find the GCD of 345, 224, 420, 200 quickly. Get the easiest ways to solve the greatest common divisor of 345, 224, 420, 200 i.e 1 in different methods as follows.
Given Input numbers are 345, 224, 420, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
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 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD of numbers is the greatest common divisor
So, the GCD (345, 224, 420, 200) = 1.
Given numbers are 345, 224, 420, 200
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 345, 224, 420, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 224) = 77280
GCD(345, 224) = ( 345 x 224 ) / 77280
= 345 / 224
= 345
Step2:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
Step3:
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
= 1 / 200
= 1
So, Greatest Common Divisor of 345, 224, 420, 200 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 224, 420, 200
The greatest common divisor of numbers 345, 224, 420, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 224, 420, 200 is 1.
1. What is the GCD of 345, 224, 420, 200?
GCD of given numbers 345, 224, 420, 200 is 1
2. How to calculate the greatest common divisor of 345, 224, 420, 200?
We can find the highest common divisor of 345, 224, 420, 200 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 345, 224, 420, 200 i.e 1.
3. How can I use the GCD of 345, 224, 420, 200Calculator?
Out the numbers 345, 224, 420, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.