Online GCD Calculator is useful to find the GCD of 744, 288, 970, 520 quickly. Get the easiest ways to solve the greatest common divisor of 744, 288, 970, 520 i.e 2 in different methods as follows.
Given Input numbers are 744, 288, 970, 520
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 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
GCD of numbers is the greatest common divisor
So, the GCD (744, 288, 970, 520) = 2.
Given numbers are 744, 288, 970, 520
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 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 970 are 2 x 5 x 97
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 744, 288, 970, 520 is 2.
Given numbers are 744, 288, 970, 520
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(744, 288) = 8928
GCD(744, 288) = ( 744 x 288 ) / 8928
= 744 / 288
= 744
Step2:
LCM(24, 970) = 11640
GCD(24, 970) = ( 24 x 970 ) / 11640
= 24 / 970
= 24
Step3:
LCM(2, 520) = 520
GCD(2, 520) = ( 2 x 520 ) / 520
= 2 / 520
= 2
So, Greatest Common Divisor of 744, 288, 970, 520 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 744, 288, 970, 520
The greatest common divisor of numbers 744, 288, 970, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 288, 970, 520 is 2.
1. What is the GCD of 744, 288, 970, 520?
GCD of given numbers 744, 288, 970, 520 is 2
2. How to calculate the greatest common divisor of 744, 288, 970, 520?
We can find the highest common divisor of 744, 288, 970, 520 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, 288, 970, 520 i.e 2.
3. How can I use the GCD of 744, 288, 970, 520Calculator?
Out the numbers 744, 288, 970, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.