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 679, 440, 30, 762 i.e. 1 largest integer that divides all the numbers equally.
GCD of 679, 440, 30, 762 is 1
GCD(679, 440, 30, 762) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 679, 440, 30, 762 is 1
GCD(679, 440, 30, 762) = 1
Given Input numbers are 679, 440, 30, 762
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Greatest Common Divisior
We found the divisors of 679, 440, 30, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 679, 440, 30, 762 is 1.
Therefore, GCD of numbers 679, 440, 30, 762 is 1
Given Input Data is 679, 440, 30, 762
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 679 is 7 x 97
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 762 is 2 x 3 x 127
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(679, 440) = 298760
GCD(679, 440) = ( 679 x 440 ) / 298760
GCD(679, 440) = 298760 / 298760
GCD(679, 440) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
GCD(1, 30) = 30 / 30
GCD(1, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 762
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 762) = 762
GCD(1, 762) = ( 1 x 762 ) / 762
GCD(1, 762) = 762 / 762
GCD(1, 762) = 1
GCD of 679, 440, 30, 762 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 679, 440, 30, 762?
GCD of 679, 440, 30, 762 is 1
2. Where do I get the detailed procedure to find GCD of 679, 440, 30, 762?
You can find a detailed procedure to find GCD of 679, 440, 30, 762 on our page.
3. How to find GCD of 679, 440, 30, 762 on a calculator?
You can find the GCD of 679, 440, 30, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.