Online GCD Calculator is useful to find the GCD of 872, 840, 200 quickly. Get the easiest ways to solve the greatest common divisor of 872, 840, 200 i.e 8 in different methods as follows.
Given Input numbers are 872, 840, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
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 (872, 840, 200) = 8.
Given numbers are 872, 840, 200
The list of prime factors of all numbers are
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 23
Therefore, GCD of 872, 840, 200 is 8.
Given numbers are 872, 840, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(872, 840) = 91560
GCD(872, 840) = ( 872 x 840 ) / 91560
= 872 / 840
= 872
Step2:
LCM(8, 200) = 200
GCD(8, 200) = ( 8 x 200 ) / 200
= 8 / 200
= 8
So, Greatest Common Divisor of 872, 840, 200 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 872, 840, 200
The greatest common divisor of numbers 872, 840, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 840, 200 is 8.
1. What is the GCD of 872, 840, 200?
GCD of given numbers 872, 840, 200 is 8
2. How to calculate the greatest common divisor of 872, 840, 200?
We can find the highest common divisor of 872, 840, 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 872, 840, 200 i.e 8.
3. How can I use the GCD of 872, 840, 200Calculator?
Out the numbers 872, 840, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.