Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 722, 786, 160, 812 i.e. 2 largest integer that divides all the numbers equally.
GCD of 722, 786, 160, 812 is 2
GCD(722, 786, 160, 812) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 722, 786, 160, 812 is 2
GCD(722, 786, 160, 812) = 2
Given Input numbers are 722, 786, 160, 812
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 786
List of positive integer divisors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Greatest Common Divisior
We found the divisors of 722, 786, 160, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 786, 160, 812 is 2.
Therefore, GCD of numbers 722, 786, 160, 812 is 2
Given Input Data is 722, 786, 160, 812
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 786 is 2 x 3 x 131
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 812 is 2 x 2 x 7 x 29
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(722, 786) = 283746
GCD(722, 786) = ( 722 x 786 ) / 283746
GCD(722, 786) = 567492 / 283746
GCD(722, 786) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 160) = 160
GCD(2, 160) = ( 2 x 160 ) / 160
GCD(2, 160) = 320 / 160
GCD(2, 160) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 812
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 812) = 812
GCD(2, 812) = ( 2 x 812 ) / 812
GCD(2, 812) = 1624 / 812
GCD(2, 812) = 2
GCD of 722, 786, 160, 812 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 722, 786, 160, 812?
GCD of 722, 786, 160, 812 is 2
2. Where do I get the detailed procedure to find GCD of 722, 786, 160, 812?
You can find a detailed procedure to find GCD of 722, 786, 160, 812 on our page.
3. How to find GCD of 722, 786, 160, 812 on a calculator?
You can find the GCD of 722, 786, 160, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.