Online GCD Calculator is useful to find the GCD of 200, 310, 780, 170 quickly. Get the easiest ways to solve the greatest common divisor of 200, 310, 780, 170 i.e 10 in different methods as follows.
Given Input numbers are 200, 310, 780, 170
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 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
GCD of numbers is the greatest common divisor
So, the GCD (200, 310, 780, 170) = 10.
Given numbers are 200, 310, 780, 170
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 310 are 2 x 5 x 31
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 170 are 2 x 5 x 17
The highest common occurrence is 21 x 51
Therefore, GCD of 200, 310, 780, 170 is 10.
Given numbers are 200, 310, 780, 170
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 310) = 6200
GCD(200, 310) = ( 200 x 310 ) / 6200
= 200 / 310
= 200
Step2:
LCM(10, 780) = 780
GCD(10, 780) = ( 10 x 780 ) / 780
= 10 / 780
= 10
Step3:
LCM(10, 170) = 170
GCD(10, 170) = ( 10 x 170 ) / 170
= 10 / 170
= 10
So, Greatest Common Divisor of 200, 310, 780, 170 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 310, 780, 170
The greatest common divisor of numbers 200, 310, 780, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 310, 780, 170 is 10.
1. What is the GCD of 200, 310, 780, 170?
GCD of given numbers 200, 310, 780, 170 is 10
2. How to calculate the greatest common divisor of 200, 310, 780, 170?
We can find the highest common divisor of 200, 310, 780, 170 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, 310, 780, 170 i.e 10.
3. How can I use the GCD of 200, 310, 780, 170Calculator?
Out the numbers 200, 310, 780, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.