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 699, 826, 90, 769 i.e. 1 largest integer that divides all the numbers equally.
GCD of 699, 826, 90, 769 is 1
GCD(699, 826, 90, 769) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 699, 826, 90, 769 is 1
GCD(699, 826, 90, 769) = 1
Given Input numbers are 699, 826, 90, 769
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Greatest Common Divisior
We found the divisors of 699, 826, 90, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 826, 90, 769 is 1.
Therefore, GCD of numbers 699, 826, 90, 769 is 1
Given Input Data is 699, 826, 90, 769
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 699 is 3 x 233
Prime Factorization of 826 is 2 x 7 x 59
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 769 is 769
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(699, 826) = 577374
GCD(699, 826) = ( 699 x 826 ) / 577374
GCD(699, 826) = 577374 / 577374
GCD(699, 826) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 769
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 769) = 769
GCD(1, 769) = ( 1 x 769 ) / 769
GCD(1, 769) = 769 / 769
GCD(1, 769) = 1
GCD of 699, 826, 90, 769 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 699, 826, 90, 769?
GCD of 699, 826, 90, 769 is 1
2. Where do I get the detailed procedure to find GCD of 699, 826, 90, 769?
You can find a detailed procedure to find GCD of 699, 826, 90, 769 on our page.
3. How to find GCD of 699, 826, 90, 769 on a calculator?
You can find the GCD of 699, 826, 90, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.