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 70, 697, 871, 696 i.e. 1 largest integer that divides all the numbers equally.
GCD of 70, 697, 871, 696 is 1
GCD(70, 697, 871, 696) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 697, 871, 696 is 1
GCD(70, 697, 871, 696) = 1
Given Input numbers are 70, 697, 871, 696
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
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
Greatest Common Divisior
We found the divisors of 70, 697, 871, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 697, 871, 696 is 1.
Therefore, GCD of numbers 70, 697, 871, 696 is 1
Given Input Data is 70, 697, 871, 696
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 697 is 17 x 41
Prime Factorization of 871 is 13 x 67
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
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(70, 697) = 48790
GCD(70, 697) = ( 70 x 697 ) / 48790
GCD(70, 697) = 48790 / 48790
GCD(70, 697) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 871
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 871) = 871
GCD(1, 871) = ( 1 x 871 ) / 871
GCD(1, 871) = 871 / 871
GCD(1, 871) = 1
Step3:
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
GCD of 70, 697, 871, 696 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 697, 871, 696?
GCD of 70, 697, 871, 696 is 1
2. Where do I get the detailed procedure to find GCD of 70, 697, 871, 696?
You can find a detailed procedure to find GCD of 70, 697, 871, 696 on our page.
3. How to find GCD of 70, 697, 871, 696 on a calculator?
You can find the GCD of 70, 697, 871, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.