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 851, 155, 696, 500 i.e. 1 largest integer that divides all the numbers equally.
GCD of 851, 155, 696, 500 is 1
GCD(851, 155, 696, 500) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 851, 155, 696, 500 is 1
GCD(851, 155, 696, 500) = 1
Given Input numbers are 851, 155, 696, 500
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Greatest Common Divisior
We found the divisors of 851, 155, 696, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 851, 155, 696, 500 is 1.
Therefore, GCD of numbers 851, 155, 696, 500 is 1
Given Input Data is 851, 155, 696, 500
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 851 is 23 x 37
Prime Factorization of 155 is 5 x 31
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
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(851, 155) = 131905
GCD(851, 155) = ( 851 x 155 ) / 131905
GCD(851, 155) = 131905 / 131905
GCD(851, 155) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 696
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 696) = 696
GCD(1, 696) = ( 1 x 696 ) / 696
GCD(1, 696) = 696 / 696
GCD(1, 696) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 500
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 500) = 500
GCD(1, 500) = ( 1 x 500 ) / 500
GCD(1, 500) = 500 / 500
GCD(1, 500) = 1
GCD of 851, 155, 696, 500 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 851, 155, 696, 500?
GCD of 851, 155, 696, 500 is 1
2. Where do I get the detailed procedure to find GCD of 851, 155, 696, 500?
You can find a detailed procedure to find GCD of 851, 155, 696, 500 on our page.
3. How to find GCD of 851, 155, 696, 500 on a calculator?
You can find the GCD of 851, 155, 696, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.