Online GCD Calculator is useful to find the GCD of 710, 382, 680, 822 quickly. Get the easiest ways to solve the greatest common divisor of 710, 382, 680, 822 i.e 2 in different methods as follows.
Given Input numbers are 710, 382, 680, 822
In the factoring method, we have to find the divisors of all numbers
Divisors of 710 :
The positive integer divisors of 710 that completely divides 710 are.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
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 (710, 382, 680, 822) = 2.
Given numbers are 710, 382, 680, 822
The list of prime factors of all numbers are
Prime factors of 710 are 2 x 5 x 71
Prime factors of 382 are 2 x 191
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 822 are 2 x 3 x 137
The highest common occurrence is 21
Therefore, GCD of 710, 382, 680, 822 is 2.
Given numbers are 710, 382, 680, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(710, 382) = 135610
GCD(710, 382) = ( 710 x 382 ) / 135610
= 710 / 382
= 710
Step2:
LCM(2, 680) = 680
GCD(2, 680) = ( 2 x 680 ) / 680
= 2 / 680
= 2
Step3:
LCM(2, 822) = 822
GCD(2, 822) = ( 2 x 822 ) / 822
= 2 / 822
= 2
So, Greatest Common Divisor of 710, 382, 680, 822 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 710, 382, 680, 822
The greatest common divisor of numbers 710, 382, 680, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 710, 382, 680, 822 is 2.
1. What is the GCD of 710, 382, 680, 822?
GCD of given numbers 710, 382, 680, 822 is 2
2. How to calculate the greatest common divisor of 710, 382, 680, 822?
We can find the highest common divisor of 710, 382, 680, 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 710, 382, 680, 822 i.e 2.
3. How can I use the GCD of 710, 382, 680, 822Calculator?
Out the numbers 710, 382, 680, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.