Online GCD Calculator is useful to find the GCD of 812, 972, 702, 808 quickly. Get the easiest ways to solve the greatest common divisor of 812, 972, 702, 808 i.e 2 in different methods as follows.
Given Input numbers are 812, 972, 702, 808
In the factoring method, we have to find the divisors of all numbers
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 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
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 808 :
The positive integer divisors of 808 that completely divides 808 are.
1, 2, 4, 8, 101, 202, 404, 808
GCD of numbers is the greatest common divisor
So, the GCD (812, 972, 702, 808) = 2.
Given numbers are 812, 972, 702, 808
The list of prime factors of all numbers are
Prime factors of 812 are 2 x 2 x 7 x 29
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 808 are 2 x 2 x 2 x 101
The highest common occurrence is 21
Therefore, GCD of 812, 972, 702, 808 is 2.
Given numbers are 812, 972, 702, 808
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(812, 972) = 197316
GCD(812, 972) = ( 812 x 972 ) / 197316
= 812 / 972
= 812
Step2:
LCM(4, 702) = 1404
GCD(4, 702) = ( 4 x 702 ) / 1404
= 4 / 702
= 4
Step3:
LCM(2, 808) = 808
GCD(2, 808) = ( 2 x 808 ) / 808
= 2 / 808
= 2
So, Greatest Common Divisor of 812, 972, 702, 808 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 812, 972, 702, 808
The greatest common divisor of numbers 812, 972, 702, 808 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 812, 972, 702, 808 is 2.
1. What is the GCD of 812, 972, 702, 808?
GCD of given numbers 812, 972, 702, 808 is 2
2. How to calculate the greatest common divisor of 812, 972, 702, 808?
We can find the highest common divisor of 812, 972, 702, 808 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 812, 972, 702, 808 i.e 2.
3. How can I use the GCD of 812, 972, 702, 808Calculator?
Out the numbers 812, 972, 702, 808 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.