Online GCD Calculator is useful to find the GCD of 744, 370, 474, 708 quickly. Get the easiest ways to solve the greatest common divisor of 744, 370, 474, 708 i.e 2 in different methods as follows.
Given Input numbers are 744, 370, 474, 708
In the factoring method, we have to find the divisors of all numbers
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
GCD of numbers is the greatest common divisor
So, the GCD (744, 370, 474, 708) = 2.
Given numbers are 744, 370, 474, 708
The list of prime factors of all numbers are
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 370 are 2 x 5 x 37
Prime factors of 474 are 2 x 3 x 79
Prime factors of 708 are 2 x 2 x 3 x 59
The highest common occurrence is 21
Therefore, GCD of 744, 370, 474, 708 is 2.
Given numbers are 744, 370, 474, 708
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(744, 370) = 137640
GCD(744, 370) = ( 744 x 370 ) / 137640
= 744 / 370
= 744
Step2:
LCM(2, 474) = 474
GCD(2, 474) = ( 2 x 474 ) / 474
= 2 / 474
= 2
Step3:
LCM(2, 708) = 708
GCD(2, 708) = ( 2 x 708 ) / 708
= 2 / 708
= 2
So, Greatest Common Divisor of 744, 370, 474, 708 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 744, 370, 474, 708
The greatest common divisor of numbers 744, 370, 474, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 370, 474, 708 is 2.
1. What is the GCD of 744, 370, 474, 708?
GCD of given numbers 744, 370, 474, 708 is 2
2. How to calculate the greatest common divisor of 744, 370, 474, 708?
We can find the highest common divisor of 744, 370, 474, 708 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 744, 370, 474, 708 i.e 2.
3. How can I use the GCD of 744, 370, 474, 708Calculator?
Out the numbers 744, 370, 474, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.