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, 130, 769, 770 i.e. 1 largest integer that divides all the numbers equally.
GCD of 488, 130, 769, 770 is 1
GCD(488, 130, 769, 770) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 488, 130, 769, 770 is 1
GCD(488, 130, 769, 770) = 1
Given Input numbers are 488, 130, 769, 770
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 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Greatest Common Divisior
We found the divisors of 488, 130, 769, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 130, 769, 770 is 1.
Therefore, GCD of numbers 488, 130, 769, 770 is 1
Given Input Data is 488, 130, 769, 770
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 130 is 2 x 5 x 13
Prime Factorization of 769 is 769
Prime Factorization of 770 is 2 x 5 x 7 x 11
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, 130) = 31720
GCD(488, 130) = ( 488 x 130 ) / 31720
GCD(488, 130) = 63440 / 31720
GCD(488, 130) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 769
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 769) = 1538
GCD(2, 769) = ( 2 x 769 ) / 1538
GCD(2, 769) = 1538 / 1538
GCD(2, 769) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 770
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 770) = 770
GCD(1, 770) = ( 1 x 770 ) / 770
GCD(1, 770) = 770 / 770
GCD(1, 770) = 1
GCD of 488, 130, 769, 770 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 488, 130, 769, 770?
GCD of 488, 130, 769, 770 is 1
2. Where do I get the detailed procedure to find GCD of 488, 130, 769, 770?
You can find a detailed procedure to find GCD of 488, 130, 769, 770 on our page.
3. How to find GCD of 488, 130, 769, 770 on a calculator?
You can find the GCD of 488, 130, 769, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.