Online GCD Calculator is useful to find the GCD of 822, 812, 893, 742 quickly. Get the easiest ways to solve the greatest common divisor of 822, 812, 893, 742 i.e 1 in different methods as follows.
Given Input numbers are 822, 812, 893, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 893 :
The positive integer divisors of 893 that completely divides 893 are.
1, 19, 47, 893
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (822, 812, 893, 742) = 1.
Given numbers are 822, 812, 893, 742
The list of prime factors of all numbers are
Prime factors of 822 are 2 x 3 x 137
Prime factors of 812 are 2 x 2 x 7 x 29
Prime factors of 893 are 19 x 47
Prime factors of 742 are 2 x 7 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 822, 812, 893, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(822, 812) = 333732
GCD(822, 812) = ( 822 x 812 ) / 333732
= 822 / 812
= 822
Step2:
LCM(2, 893) = 1786
GCD(2, 893) = ( 2 x 893 ) / 1786
= 2 / 893
= 2
Step3:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
So, Greatest Common Divisor of 822, 812, 893, 742 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 822, 812, 893, 742
The greatest common divisor of numbers 822, 812, 893, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 812, 893, 742 is 1.
1. What is the GCD of 822, 812, 893, 742?
GCD of given numbers 822, 812, 893, 742 is 1
2. How to calculate the greatest common divisor of 822, 812, 893, 742?
We can find the highest common divisor of 822, 812, 893, 742 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 822, 812, 893, 742 i.e 1.
3. How can I use the GCD of 822, 812, 893, 742Calculator?
Out the numbers 822, 812, 893, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.