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 91, 351, 436, 687 i.e. 1 largest integer that divides all the numbers equally.
GCD of 91, 351, 436, 687 is 1
GCD(91, 351, 436, 687) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 91, 351, 436, 687 is 1
GCD(91, 351, 436, 687) = 1
Given Input numbers are 91, 351, 436, 687
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Greatest Common Divisior
We found the divisors of 91, 351, 436, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 351, 436, 687 is 1.
Therefore, GCD of numbers 91, 351, 436, 687 is 1
Given Input Data is 91, 351, 436, 687
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 91 is 7 x 13
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 436 is 2 x 2 x 109
Prime Factorization of 687 is 3 x 229
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(91, 351) = 2457
GCD(91, 351) = ( 91 x 351 ) / 2457
GCD(91, 351) = 31941 / 2457
GCD(91, 351) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 436
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 436) = 5668
GCD(13, 436) = ( 13 x 436 ) / 5668
GCD(13, 436) = 5668 / 5668
GCD(13, 436) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
GCD(1, 687) = 687 / 687
GCD(1, 687) = 1
GCD of 91, 351, 436, 687 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 91, 351, 436, 687?
GCD of 91, 351, 436, 687 is 1
2. Where do I get the detailed procedure to find GCD of 91, 351, 436, 687?
You can find a detailed procedure to find GCD of 91, 351, 436, 687 on our page.
3. How to find GCD of 91, 351, 436, 687 on a calculator?
You can find the GCD of 91, 351, 436, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.