Online GCD Calculator is useful to find the GCD of 728, 600, 970, 182 quickly. Get the easiest ways to solve the greatest common divisor of 728, 600, 970, 182 i.e 2 in different methods as follows.
Given Input numbers are 728, 600, 970, 182
In the factoring method, we have to find the divisors of all numbers
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
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 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
GCD of numbers is the greatest common divisor
So, the GCD (728, 600, 970, 182) = 2.
Given numbers are 728, 600, 970, 182
The list of prime factors of all numbers are
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 970 are 2 x 5 x 97
Prime factors of 182 are 2 x 7 x 13
The highest common occurrence is 21
Therefore, GCD of 728, 600, 970, 182 is 2.
Given numbers are 728, 600, 970, 182
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(728, 600) = 54600
GCD(728, 600) = ( 728 x 600 ) / 54600
= 728 / 600
= 728
Step2:
LCM(8, 970) = 3880
GCD(8, 970) = ( 8 x 970 ) / 3880
= 8 / 970
= 8
Step3:
LCM(2, 182) = 182
GCD(2, 182) = ( 2 x 182 ) / 182
= 2 / 182
= 2
So, Greatest Common Divisor of 728, 600, 970, 182 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 728, 600, 970, 182
The greatest common divisor of numbers 728, 600, 970, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 600, 970, 182 is 2.
1. What is the GCD of 728, 600, 970, 182?
GCD of given numbers 728, 600, 970, 182 is 2
2. How to calculate the greatest common divisor of 728, 600, 970, 182?
We can find the highest common divisor of 728, 600, 970, 182 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 728, 600, 970, 182 i.e 2.
3. How can I use the GCD of 728, 600, 970, 182Calculator?
Out the numbers 728, 600, 970, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.