Online GCD Calculator is useful to find the GCD of 668, 856, 920, 300 quickly. Get the easiest ways to solve the greatest common divisor of 668, 856, 920, 300 i.e 4 in different methods as follows.
Given Input numbers are 668, 856, 920, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
Divisors of 856 :
The positive integer divisors of 856 that completely divides 856 are.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
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
GCD of numbers is the greatest common divisor
So, the GCD (668, 856, 920, 300) = 4.
Given numbers are 668, 856, 920, 300
The list of prime factors of all numbers are
Prime factors of 668 are 2 x 2 x 167
Prime factors of 856 are 2 x 2 x 2 x 107
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 668, 856, 920, 300 is 4.
Given numbers are 668, 856, 920, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(668, 856) = 142952
GCD(668, 856) = ( 668 x 856 ) / 142952
= 668 / 856
= 668
Step2:
LCM(4, 920) = 920
GCD(4, 920) = ( 4 x 920 ) / 920
= 4 / 920
= 4
Step3:
LCM(4, 300) = 300
GCD(4, 300) = ( 4 x 300 ) / 300
= 4 / 300
= 4
So, Greatest Common Divisor of 668, 856, 920, 300 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 668, 856, 920, 300
The greatest common divisor of numbers 668, 856, 920, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 668, 856, 920, 300 is 4.
1. What is the GCD of 668, 856, 920, 300?
GCD of given numbers 668, 856, 920, 300 is 4
2. How to calculate the greatest common divisor of 668, 856, 920, 300?
We can find the highest common divisor of 668, 856, 920, 300 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 668, 856, 920, 300 i.e 4.
3. How can I use the GCD of 668, 856, 920, 300Calculator?
Out the numbers 668, 856, 920, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.