Online GCD Calculator is useful to find the GCD of 738, 608, 784, 824 quickly. Get the easiest ways to solve the greatest common divisor of 738, 608, 784, 824 i.e 2 in different methods as follows.
Given Input numbers are 738, 608, 784, 824
In the factoring method, we have to find the divisors of all numbers
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
GCD of numbers is the greatest common divisor
So, the GCD (738, 608, 784, 824) = 2.
Given numbers are 738, 608, 784, 824
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 824 are 2 x 2 x 2 x 103
The highest common occurrence is 21
Therefore, GCD of 738, 608, 784, 824 is 2.
Given numbers are 738, 608, 784, 824
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 608) = 224352
GCD(738, 608) = ( 738 x 608 ) / 224352
= 738 / 608
= 738
Step2:
LCM(2, 784) = 784
GCD(2, 784) = ( 2 x 784 ) / 784
= 2 / 784
= 2
Step3:
LCM(2, 824) = 824
GCD(2, 824) = ( 2 x 824 ) / 824
= 2 / 824
= 2
So, Greatest Common Divisor of 738, 608, 784, 824 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 608, 784, 824
The greatest common divisor of numbers 738, 608, 784, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 608, 784, 824 is 2.
1. What is the GCD of 738, 608, 784, 824?
GCD of given numbers 738, 608, 784, 824 is 2
2. How to calculate the greatest common divisor of 738, 608, 784, 824?
We can find the highest common divisor of 738, 608, 784, 824 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 738, 608, 784, 824 i.e 2.
3. How can I use the GCD of 738, 608, 784, 824Calculator?
Out the numbers 738, 608, 784, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.