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 696, 821, 87, 202 i.e. 1 largest integer that divides all the numbers equally.
GCD of 696, 821, 87, 202 is 1
GCD(696, 821, 87, 202) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 696, 821, 87, 202 is 1
GCD(696, 821, 87, 202) = 1
Given Input numbers are 696, 821, 87, 202
To find the GCD of numbers using factoring list out all the divisors of each number
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 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Greatest Common Divisior
We found the divisors of 696, 821, 87, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 821, 87, 202 is 1.
Therefore, GCD of numbers 696, 821, 87, 202 is 1
Given Input Data is 696, 821, 87, 202
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 821 is 821
Prime Factorization of 87 is 3 x 29
Prime Factorization of 202 is 2 x 101
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(696, 821) = 571416
GCD(696, 821) = ( 696 x 821 ) / 571416
GCD(696, 821) = 571416 / 571416
GCD(696, 821) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 87) = 87
GCD(1, 87) = ( 1 x 87 ) / 87
GCD(1, 87) = 87 / 87
GCD(1, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 202
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 202) = 202
GCD(1, 202) = ( 1 x 202 ) / 202
GCD(1, 202) = 202 / 202
GCD(1, 202) = 1
GCD of 696, 821, 87, 202 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 696, 821, 87, 202?
GCD of 696, 821, 87, 202 is 1
2. Where do I get the detailed procedure to find GCD of 696, 821, 87, 202?
You can find a detailed procedure to find GCD of 696, 821, 87, 202 on our page.
3. How to find GCD of 696, 821, 87, 202 on a calculator?
You can find the GCD of 696, 821, 87, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.