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 762, 271, 699, 469 i.e. 1 largest integer that divides all the numbers equally.
GCD of 762, 271, 699, 469 is 1
GCD(762, 271, 699, 469) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 762, 271, 699, 469 is 1
GCD(762, 271, 699, 469) = 1
Given Input numbers are 762, 271, 699, 469
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Greatest Common Divisior
We found the divisors of 762, 271, 699, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 271, 699, 469 is 1.
Therefore, GCD of numbers 762, 271, 699, 469 is 1
Given Input Data is 762, 271, 699, 469
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 271 is 271
Prime Factorization of 699 is 3 x 233
Prime Factorization of 469 is 7 x 67
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(762, 271) = 206502
GCD(762, 271) = ( 762 x 271 ) / 206502
GCD(762, 271) = 206502 / 206502
GCD(762, 271) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 699
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 699) = 699
GCD(1, 699) = ( 1 x 699 ) / 699
GCD(1, 699) = 699 / 699
GCD(1, 699) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 469
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 469) = 469
GCD(1, 469) = ( 1 x 469 ) / 469
GCD(1, 469) = 469 / 469
GCD(1, 469) = 1
GCD of 762, 271, 699, 469 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 762, 271, 699, 469?
GCD of 762, 271, 699, 469 is 1
2. Where do I get the detailed procedure to find GCD of 762, 271, 699, 469?
You can find a detailed procedure to find GCD of 762, 271, 699, 469 on our page.
3. How to find GCD of 762, 271, 699, 469 on a calculator?
You can find the GCD of 762, 271, 699, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.