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 488, 275, 69, 435 i.e. 1 largest integer that divides all the numbers equally.
GCD of 488, 275, 69, 435 is 1
GCD(488, 275, 69, 435) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 488, 275, 69, 435 is 1
GCD(488, 275, 69, 435) = 1
Given Input numbers are 488, 275, 69, 435
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Greatest Common Divisior
We found the divisors of 488, 275, 69, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 275, 69, 435 is 1.
Therefore, GCD of numbers 488, 275, 69, 435 is 1
Given Input Data is 488, 275, 69, 435
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 69 is 3 x 23
Prime Factorization of 435 is 3 x 5 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(488, 275) = 134200
GCD(488, 275) = ( 488 x 275 ) / 134200
GCD(488, 275) = 134200 / 134200
GCD(488, 275) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 435) = 435
GCD(1, 435) = ( 1 x 435 ) / 435
GCD(1, 435) = 435 / 435
GCD(1, 435) = 1
GCD of 488, 275, 69, 435 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 488, 275, 69, 435?
GCD of 488, 275, 69, 435 is 1
2. Where do I get the detailed procedure to find GCD of 488, 275, 69, 435?
You can find a detailed procedure to find GCD of 488, 275, 69, 435 on our page.
3. How to find GCD of 488, 275, 69, 435 on a calculator?
You can find the GCD of 488, 275, 69, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.