Online GCD Calculator is useful to find the GCD of 702, 720, 822 quickly. Get the easiest ways to solve the greatest common divisor of 702, 720, 822 i.e 6 in different methods as follows.
Given Input numbers are 702, 720, 822
In the factoring method, we have to find the divisors of all numbers
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
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 (702, 720, 822) = 6.
Given numbers are 702, 720, 822
The list of prime factors of all numbers are
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 822 are 2 x 3 x 137
The highest common occurrence is 21 x 31
Therefore, GCD of 702, 720, 822 is 6.
Given numbers are 702, 720, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(702, 720) = 28080
GCD(702, 720) = ( 702 x 720 ) / 28080
= 702 / 720
= 702
Step2:
LCM(18, 822) = 2466
GCD(18, 822) = ( 18 x 822 ) / 2466
= 18 / 822
= 18
So, Greatest Common Divisor of 702, 720, 822 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 702, 720, 822
The greatest common divisor of numbers 702, 720, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 720, 822 is 6.
1. What is the GCD of 702, 720, 822?
GCD of given numbers 702, 720, 822 is 6
2. How to calculate the greatest common divisor of 702, 720, 822?
We can find the highest common divisor of 702, 720, 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 702, 720, 822 i.e 6.
3. How can I use the GCD of 702, 720, 822Calculator?
Out the numbers 702, 720, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.