Online GCD Calculator is useful to find the GCD of 508, 774, 950, 300 quickly. Get the easiest ways to solve the greatest common divisor of 508, 774, 950, 300 i.e 2 in different methods as follows.
Given Input numbers are 508, 774, 950, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 950 :
The positive integer divisors of 950 that completely divides 950 are.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
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 (508, 774, 950, 300) = 2.
Given numbers are 508, 774, 950, 300
The list of prime factors of all numbers are
Prime factors of 508 are 2 x 2 x 127
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 950 are 2 x 5 x 5 x 19
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 508, 774, 950, 300 is 2.
Given numbers are 508, 774, 950, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(508, 774) = 196596
GCD(508, 774) = ( 508 x 774 ) / 196596
= 508 / 774
= 508
Step2:
LCM(2, 950) = 950
GCD(2, 950) = ( 2 x 950 ) / 950
= 2 / 950
= 2
Step3:
LCM(2, 300) = 300
GCD(2, 300) = ( 2 x 300 ) / 300
= 2 / 300
= 2
So, Greatest Common Divisor of 508, 774, 950, 300 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 508, 774, 950, 300
The greatest common divisor of numbers 508, 774, 950, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 774, 950, 300 is 2.
1. What is the GCD of 508, 774, 950, 300?
GCD of given numbers 508, 774, 950, 300 is 2
2. How to calculate the greatest common divisor of 508, 774, 950, 300?
We can find the highest common divisor of 508, 774, 950, 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 508, 774, 950, 300 i.e 2.
3. How can I use the GCD of 508, 774, 950, 300Calculator?
Out the numbers 508, 774, 950, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.