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 436, 687, 680, 769 i.e. 1 largest integer that divides all the numbers equally.
GCD of 436, 687, 680, 769 is 1
GCD(436, 687, 680, 769) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 436, 687, 680, 769 is 1
GCD(436, 687, 680, 769) = 1
Given Input numbers are 436, 687, 680, 769
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
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 436, 687, 680, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 687, 680, 769 is 1.
Therefore, GCD of numbers 436, 687, 680, 769 is 1
Given Input Data is 436, 687, 680, 769
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 436 is 2 x 2 x 109
Prime Factorization of 687 is 3 x 229
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
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(436, 687) = 299532
GCD(436, 687) = ( 436 x 687 ) / 299532
GCD(436, 687) = 299532 / 299532
GCD(436, 687) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 680
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
GCD(1, 680) = 680 / 680
GCD(1, 680) = 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 436, 687, 680, 769 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 436, 687, 680, 769?
GCD of 436, 687, 680, 769 is 1
2. Where do I get the detailed procedure to find GCD of 436, 687, 680, 769?
You can find a detailed procedure to find GCD of 436, 687, 680, 769 on our page.
3. How to find GCD of 436, 687, 680, 769 on a calculator?
You can find the GCD of 436, 687, 680, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.