Online GCD Calculator is useful to find the GCD of 936, 693, 705, 822 quickly. Get the easiest ways to solve the greatest common divisor of 936, 693, 705, 822 i.e 3 in different methods as follows.
Given Input numbers are 936, 693, 705, 822
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
GCD of numbers is the greatest common divisor
So, the GCD (936, 693, 705, 822) = 3.
Given numbers are 936, 693, 705, 822
The list of prime factors of all numbers are
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 705 are 3 x 5 x 47
Prime factors of 822 are 2 x 3 x 137
The highest common occurrence is 31
Therefore, GCD of 936, 693, 705, 822 is 3.
Given numbers are 936, 693, 705, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(936, 693) = 72072
GCD(936, 693) = ( 936 x 693 ) / 72072
= 936 / 693
= 936
Step2:
LCM(9, 705) = 2115
GCD(9, 705) = ( 9 x 705 ) / 2115
= 9 / 705
= 9
Step3:
LCM(3, 822) = 822
GCD(3, 822) = ( 3 x 822 ) / 822
= 3 / 822
= 3
So, Greatest Common Divisor of 936, 693, 705, 822 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 936, 693, 705, 822
The greatest common divisor of numbers 936, 693, 705, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 693, 705, 822 is 3.
1. What is the GCD of 936, 693, 705, 822?
GCD of given numbers 936, 693, 705, 822 is 3
2. How to calculate the greatest common divisor of 936, 693, 705, 822?
We can find the highest common divisor of 936, 693, 705, 822 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 936, 693, 705, 822 i.e 3.
3. How can I use the GCD of 936, 693, 705, 822Calculator?
Out the numbers 936, 693, 705, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.