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 812, 362, 59, 914 i.e. 1 largest integer that divides all the numbers equally.
GCD of 812, 362, 59, 914 is 1
GCD(812, 362, 59, 914) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 812, 362, 59, 914 is 1
GCD(812, 362, 59, 914) = 1
Given Input numbers are 812, 362, 59, 914
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Greatest Common Divisior
We found the divisors of 812, 362, 59, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 362, 59, 914 is 1.
Therefore, GCD of numbers 812, 362, 59, 914 is 1
Given Input Data is 812, 362, 59, 914
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 362 is 2 x 181
Prime Factorization of 59 is 59
Prime Factorization of 914 is 2 x 457
The above numbers do not have any common prime factor. So GCD is 1
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(812, 362) = 146972
GCD(812, 362) = ( 812 x 362 ) / 146972
GCD(812, 362) = 293944 / 146972
GCD(812, 362) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 59) = 118
GCD(2, 59) = ( 2 x 59 ) / 118
GCD(2, 59) = 118 / 118
GCD(2, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 914
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 914) = 914
GCD(1, 914) = ( 1 x 914 ) / 914
GCD(1, 914) = 914 / 914
GCD(1, 914) = 1
GCD of 812, 362, 59, 914 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 812, 362, 59, 914?
GCD of 812, 362, 59, 914 is 1
2. Where do I get the detailed procedure to find GCD of 812, 362, 59, 914?
You can find a detailed procedure to find GCD of 812, 362, 59, 914 on our page.
3. How to find GCD of 812, 362, 59, 914 on a calculator?
You can find the GCD of 812, 362, 59, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.