Online GCD Calculator is useful to find the GCD of 744, 974, 600, 750 quickly. Get the easiest ways to solve the greatest common divisor of 744, 974, 600, 750 i.e 2 in different methods as follows.
Given Input numbers are 744, 974, 600, 750
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 974 :
The positive integer divisors of 974 that completely divides 974 are.
1, 2, 487, 974
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
GCD of numbers is the greatest common divisor
So, the GCD (744, 974, 600, 750) = 2.
Given numbers are 744, 974, 600, 750
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 974 are 2 x 487
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 744, 974, 600, 750 is 2.
Given numbers are 744, 974, 600, 750
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(744, 974) = 362328
GCD(744, 974) = ( 744 x 974 ) / 362328
= 744 / 974
= 744
Step2:
LCM(2, 600) = 600
GCD(2, 600) = ( 2 x 600 ) / 600
= 2 / 600
= 2
Step3:
LCM(2, 750) = 750
GCD(2, 750) = ( 2 x 750 ) / 750
= 2 / 750
= 2
So, Greatest Common Divisor of 744, 974, 600, 750 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 744, 974, 600, 750
The greatest common divisor of numbers 744, 974, 600, 750 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 974, 600, 750 is 2.
1. What is the GCD of 744, 974, 600, 750?
GCD of given numbers 744, 974, 600, 750 is 2
2. How to calculate the greatest common divisor of 744, 974, 600, 750?
We can find the highest common divisor of 744, 974, 600, 750 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, 974, 600, 750 i.e 2.
3. How can I use the GCD of 744, 974, 600, 750Calculator?
Out the numbers 744, 974, 600, 750 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.