Online GCD Calculator is useful to find the GCD of 752, 600, 706 quickly. Get the easiest ways to solve the greatest common divisor of 752, 600, 706 i.e 2 in different methods as follows.
Given Input numbers are 752, 600, 706
In the factoring method, we have to find the divisors of all numbers
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
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 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
GCD of numbers is the greatest common divisor
So, the GCD (752, 600, 706) = 2.
Given numbers are 752, 600, 706
The list of prime factors of all numbers are
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 706 are 2 x 353
The highest common occurrence is 21
Therefore, GCD of 752, 600, 706 is 2.
Given numbers are 752, 600, 706
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(752, 600) = 56400
GCD(752, 600) = ( 752 x 600 ) / 56400
= 752 / 600
= 752
Step2:
LCM(8, 706) = 2824
GCD(8, 706) = ( 8 x 706 ) / 2824
= 8 / 706
= 8
So, Greatest Common Divisor of 752, 600, 706 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 752, 600, 706
The greatest common divisor of numbers 752, 600, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 600, 706 is 2.
1. What is the GCD of 752, 600, 706?
GCD of given numbers 752, 600, 706 is 2
2. How to calculate the greatest common divisor of 752, 600, 706?
We can find the highest common divisor of 752, 600, 706 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 752, 600, 706 i.e 2.
3. How can I use the GCD of 752, 600, 706Calculator?
Out the numbers 752, 600, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.