Online GCD Calculator is useful to find the GCD of 370, 500, 300 quickly. Get the easiest ways to solve the greatest common divisor of 370, 500, 300 i.e 10 in different methods as follows.
Given Input numbers are 370, 500, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (370, 500, 300) = 10.
Given numbers are 370, 500, 300
The list of prime factors of all numbers are
Prime factors of 370 are 2 x 5 x 37
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The highest common occurrence is 21 x 51
Therefore, GCD of 370, 500, 300 is 10.
Given numbers are 370, 500, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(370, 500) = 18500
GCD(370, 500) = ( 370 x 500 ) / 18500
= 370 / 500
= 370
Step2:
LCM(10, 300) = 300
GCD(10, 300) = ( 10 x 300 ) / 300
= 10 / 300
= 10
So, Greatest Common Divisor of 370, 500, 300 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 370, 500, 300
The greatest common divisor of numbers 370, 500, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 500, 300 is 10.
1. What is the GCD of 370, 500, 300?
GCD of given numbers 370, 500, 300 is 10
2. How to calculate the greatest common divisor of 370, 500, 300?
We can find the highest common divisor of 370, 500, 300 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 370, 500, 300 i.e 10.
3. How can I use the GCD of 370, 500, 300Calculator?
Out the numbers 370, 500, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.