Online GCD Calculator is useful to find the GCD of 800, 676, 868, 650 quickly. Get the easiest ways to solve the greatest common divisor of 800, 676, 868, 650 i.e 2 in different methods as follows.
Given Input numbers are 800, 676, 868, 650
In the factoring method, we have to find the divisors of all numbers
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 650 :
The positive integer divisors of 650 that completely divides 650 are.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
GCD of numbers is the greatest common divisor
So, the GCD (800, 676, 868, 650) = 2.
Given numbers are 800, 676, 868, 650
The list of prime factors of all numbers are
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 868 are 2 x 2 x 7 x 31
Prime factors of 650 are 2 x 5 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 800, 676, 868, 650 is 2.
Given numbers are 800, 676, 868, 650
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 676) = 135200
GCD(800, 676) = ( 800 x 676 ) / 135200
= 800 / 676
= 800
Step2:
LCM(4, 868) = 868
GCD(4, 868) = ( 4 x 868 ) / 868
= 4 / 868
= 4
Step3:
LCM(4, 650) = 1300
GCD(4, 650) = ( 4 x 650 ) / 1300
= 4 / 650
= 4
So, Greatest Common Divisor of 800, 676, 868, 650 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 676, 868, 650
The greatest common divisor of numbers 800, 676, 868, 650 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 676, 868, 650 is 2.
1. What is the GCD of 800, 676, 868, 650?
GCD of given numbers 800, 676, 868, 650 is 2
2. How to calculate the greatest common divisor of 800, 676, 868, 650?
We can find the highest common divisor of 800, 676, 868, 650 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 800, 676, 868, 650 i.e 2.
3. How can I use the GCD of 800, 676, 868, 650Calculator?
Out the numbers 800, 676, 868, 650 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.