Online GCD Calculator is useful to find the GCD of 300, 740, 748, 984 quickly. Get the easiest ways to solve the greatest common divisor of 300, 740, 748, 984 i.e 4 in different methods as follows.
Given Input numbers are 300, 740, 748, 984
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 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
GCD of numbers is the greatest common divisor
So, the GCD (300, 740, 748, 984) = 4.
Given numbers are 300, 740, 748, 984
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 740 are 2 x 2 x 5 x 37
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
The highest common occurrence is 22
Therefore, GCD of 300, 740, 748, 984 is 4.
Given numbers are 300, 740, 748, 984
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(300, 740) = 11100
GCD(300, 740) = ( 300 x 740 ) / 11100
= 300 / 740
= 300
Step2:
LCM(20, 748) = 3740
GCD(20, 748) = ( 20 x 748 ) / 3740
= 20 / 748
= 20
Step3:
LCM(4, 984) = 984
GCD(4, 984) = ( 4 x 984 ) / 984
= 4 / 984
= 4
So, Greatest Common Divisor of 300, 740, 748, 984 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 300, 740, 748, 984
The greatest common divisor of numbers 300, 740, 748, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 740, 748, 984 is 4.
1. What is the GCD of 300, 740, 748, 984?
GCD of given numbers 300, 740, 748, 984 is 4
2. How to calculate the greatest common divisor of 300, 740, 748, 984?
We can find the highest common divisor of 300, 740, 748, 984 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, 740, 748, 984 i.e 4.
3. How can I use the GCD of 300, 740, 748, 984Calculator?
Out the numbers 300, 740, 748, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.