Online GCD Calculator is useful to find the GCD of 830, 724, 660, 936 quickly. Get the easiest ways to solve the greatest common divisor of 830, 724, 660, 936 i.e 2 in different methods as follows.
Given Input numbers are 830, 724, 660, 936
In the factoring method, we have to find the divisors of all numbers
Divisors of 830 :
The positive integer divisors of 830 that completely divides 830 are.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
GCD of numbers is the greatest common divisor
So, the GCD (830, 724, 660, 936) = 2.
Given numbers are 830, 724, 660, 936
The list of prime factors of all numbers are
Prime factors of 830 are 2 x 5 x 83
Prime factors of 724 are 2 x 2 x 181
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 830, 724, 660, 936 is 2.
Given numbers are 830, 724, 660, 936
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(830, 724) = 300460
GCD(830, 724) = ( 830 x 724 ) / 300460
= 830 / 724
= 830
Step2:
LCM(2, 660) = 660
GCD(2, 660) = ( 2 x 660 ) / 660
= 2 / 660
= 2
Step3:
LCM(2, 936) = 936
GCD(2, 936) = ( 2 x 936 ) / 936
= 2 / 936
= 2
So, Greatest Common Divisor of 830, 724, 660, 936 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 830, 724, 660, 936
The greatest common divisor of numbers 830, 724, 660, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 830, 724, 660, 936 is 2.
1. What is the GCD of 830, 724, 660, 936?
GCD of given numbers 830, 724, 660, 936 is 2
2. How to calculate the greatest common divisor of 830, 724, 660, 936?
We can find the highest common divisor of 830, 724, 660, 936 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 830, 724, 660, 936 i.e 2.
3. How can I use the GCD of 830, 724, 660, 936Calculator?
Out the numbers 830, 724, 660, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.