Online GCD Calculator is useful to find the GCD of 300, 702, 308, 622 quickly. Get the easiest ways to solve the greatest common divisor of 300, 702, 308, 622 i.e 2 in different methods as follows.
Given Input numbers are 300, 702, 308, 622
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 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 622 :
The positive integer divisors of 622 that completely divides 622 are.
1, 2, 311, 622
GCD of numbers is the greatest common divisor
So, the GCD (300, 702, 308, 622) = 2.
Given numbers are 300, 702, 308, 622
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 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 622 are 2 x 311
The highest common occurrence is 21
Therefore, GCD of 300, 702, 308, 622 is 2.
Given numbers are 300, 702, 308, 622
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(300, 702) = 35100
GCD(300, 702) = ( 300 x 702 ) / 35100
= 300 / 702
= 300
Step2:
LCM(6, 308) = 924
GCD(6, 308) = ( 6 x 308 ) / 924
= 6 / 308
= 6
Step3:
LCM(2, 622) = 622
GCD(2, 622) = ( 2 x 622 ) / 622
= 2 / 622
= 2
So, Greatest Common Divisor of 300, 702, 308, 622 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 300, 702, 308, 622
The greatest common divisor of numbers 300, 702, 308, 622 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 702, 308, 622 is 2.
1. What is the GCD of 300, 702, 308, 622?
GCD of given numbers 300, 702, 308, 622 is 2
2. How to calculate the greatest common divisor of 300, 702, 308, 622?
We can find the highest common divisor of 300, 702, 308, 622 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, 702, 308, 622 i.e 2.
3. How can I use the GCD of 300, 702, 308, 622Calculator?
Out the numbers 300, 702, 308, 622 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.