Online GCD Calculator is useful to find the GCD of 690, 665, 200 quickly. Get the easiest ways to solve the greatest common divisor of 690, 665, 200 i.e 5 in different methods as follows.
Given Input numbers are 690, 665, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 665 :
The positive integer divisors of 665 that completely divides 665 are.
1, 5, 7, 19, 35, 95, 133, 665
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 (690, 665, 200) = 5.
Given numbers are 690, 665, 200
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 665 are 5 x 7 x 19
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 51
Therefore, GCD of 690, 665, 200 is 5.
Given numbers are 690, 665, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 665) = 91770
GCD(690, 665) = ( 690 x 665 ) / 91770
= 690 / 665
= 690
Step2:
LCM(5, 200) = 200
GCD(5, 200) = ( 5 x 200 ) / 200
= 5 / 200
= 5
So, Greatest Common Divisor of 690, 665, 200 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 665, 200
The greatest common divisor of numbers 690, 665, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 665, 200 is 5.
1. What is the GCD of 690, 665, 200?
GCD of given numbers 690, 665, 200 is 5
2. How to calculate the greatest common divisor of 690, 665, 200?
We can find the highest common divisor of 690, 665, 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 690, 665, 200 i.e 5.
3. How can I use the GCD of 690, 665, 200Calculator?
Out the numbers 690, 665, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.