Online GCD Calculator is useful to find the GCD of 200, 730, 290 quickly. Get the easiest ways to solve the greatest common divisor of 200, 730, 290 i.e 10 in different methods as follows.
Given Input numbers are 200, 730, 290
In the factoring method, we have to find the divisors of all numbers
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 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
GCD of numbers is the greatest common divisor
So, the GCD (200, 730, 290) = 10.
Given numbers are 200, 730, 290
The list of prime factors of all numbers are
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 730 are 2 x 5 x 73
Prime factors of 290 are 2 x 5 x 29
The highest common occurrence is 21 x 51
Therefore, GCD of 200, 730, 290 is 10.
Given numbers are 200, 730, 290
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 730) = 14600
GCD(200, 730) = ( 200 x 730 ) / 14600
= 200 / 730
= 200
Step2:
LCM(10, 290) = 290
GCD(10, 290) = ( 10 x 290 ) / 290
= 10 / 290
= 10
So, Greatest Common Divisor of 200, 730, 290 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 730, 290
The greatest common divisor of numbers 200, 730, 290 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 730, 290 is 10.
1. What is the GCD of 200, 730, 290?
GCD of given numbers 200, 730, 290 is 10
2. How to calculate the greatest common divisor of 200, 730, 290?
We can find the highest common divisor of 200, 730, 290 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 200, 730, 290 i.e 10.
3. How can I use the GCD of 200, 730, 290Calculator?
Out the numbers 200, 730, 290 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.