Online GCD Calculator is useful to find the GCD of 345, 400, 600 quickly. Get the easiest ways to solve the greatest common divisor of 345, 400, 600 i.e 5 in different methods as follows.
Given Input numbers are 345, 400, 600
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 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
GCD of numbers is the greatest common divisor
So, the GCD (345, 400, 600) = 5.
Given numbers are 345, 400, 600
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The highest common occurrence is 51
Therefore, GCD of 345, 400, 600 is 5.
Given numbers are 345, 400, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 400) = 27600
GCD(345, 400) = ( 345 x 400 ) / 27600
= 345 / 400
= 345
Step2:
LCM(5, 600) = 600
GCD(5, 600) = ( 5 x 600 ) / 600
= 5 / 600
= 5
So, Greatest Common Divisor of 345, 400, 600 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 400, 600
The greatest common divisor of numbers 345, 400, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 400, 600 is 5.
1. What is the GCD of 345, 400, 600?
GCD of given numbers 345, 400, 600 is 5
2. How to calculate the greatest common divisor of 345, 400, 600?
We can find the highest common divisor of 345, 400, 600 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, 400, 600 i.e 5.
3. How can I use the GCD of 345, 400, 600Calculator?
Out the numbers 345, 400, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.