Online GCD Calculator is useful to find the GCD of 200, 680, 595, 100 quickly. Get the easiest ways to solve the greatest common divisor of 200, 680, 595, 100 i.e 5 in different methods as follows.
Given Input numbers are 200, 680, 595, 100
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 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 595 :
The positive integer divisors of 595 that completely divides 595 are.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (200, 680, 595, 100) = 5.
Given numbers are 200, 680, 595, 100
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 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 595 are 5 x 7 x 17
Prime factors of 100 are 2 x 2 x 5 x 5
The highest common occurrence is 51
Therefore, GCD of 200, 680, 595, 100 is 5.
Given numbers are 200, 680, 595, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 680) = 3400
GCD(200, 680) = ( 200 x 680 ) / 3400
= 200 / 680
= 200
Step2:
LCM(40, 595) = 4760
GCD(40, 595) = ( 40 x 595 ) / 4760
= 40 / 595
= 40
Step3:
LCM(5, 100) = 100
GCD(5, 100) = ( 5 x 100 ) / 100
= 5 / 100
= 5
So, Greatest Common Divisor of 200, 680, 595, 100 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 680, 595, 100
The greatest common divisor of numbers 200, 680, 595, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 680, 595, 100 is 5.
1. What is the GCD of 200, 680, 595, 100?
GCD of given numbers 200, 680, 595, 100 is 5
2. How to calculate the greatest common divisor of 200, 680, 595, 100?
We can find the highest common divisor of 200, 680, 595, 100 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, 680, 595, 100 i.e 5.
3. How can I use the GCD of 200, 680, 595, 100Calculator?
Out the numbers 200, 680, 595, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.