Online GCD Calculator is useful to find the GCD of 300, 780, 868, 882 quickly. Get the easiest ways to solve the greatest common divisor of 300, 780, 868, 882 i.e 2 in different methods as follows.
Given Input numbers are 300, 780, 868, 882
In the factoring method, we have to find the divisors of all numbers
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
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 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 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
GCD of numbers is the greatest common divisor
So, the GCD (300, 780, 868, 882) = 2.
Given numbers are 300, 780, 868, 882
The list of prime factors of all numbers are
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 868 are 2 x 2 x 7 x 31
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 300, 780, 868, 882 is 2.
Given numbers are 300, 780, 868, 882
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(300, 780) = 3900
GCD(300, 780) = ( 300 x 780 ) / 3900
= 300 / 780
= 300
Step2:
LCM(60, 868) = 13020
GCD(60, 868) = ( 60 x 868 ) / 13020
= 60 / 868
= 60
Step3:
LCM(4, 882) = 1764
GCD(4, 882) = ( 4 x 882 ) / 1764
= 4 / 882
= 4
So, Greatest Common Divisor of 300, 780, 868, 882 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 300, 780, 868, 882
The greatest common divisor of numbers 300, 780, 868, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 780, 868, 882 is 2.
1. What is the GCD of 300, 780, 868, 882?
GCD of given numbers 300, 780, 868, 882 is 2
2. How to calculate the greatest common divisor of 300, 780, 868, 882?
We can find the highest common divisor of 300, 780, 868, 882 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 300, 780, 868, 882 i.e 2.
3. How can I use the GCD of 300, 780, 868, 882Calculator?
Out the numbers 300, 780, 868, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.