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 770, 330, 76, 587 i.e. 1 largest integer that divides all the numbers equally.
GCD of 770, 330, 76, 587 is 1
GCD(770, 330, 76, 587) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 770, 330, 76, 587 is 1
GCD(770, 330, 76, 587) = 1
Given Input numbers are 770, 330, 76, 587
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
Greatest Common Divisior
We found the divisors of 770, 330, 76, 587 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 330, 76, 587 is 1.
Therefore, GCD of numbers 770, 330, 76, 587 is 1
Given Input Data is 770, 330, 76, 587
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 587 is 587
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(770, 330) = 2310
GCD(770, 330) = ( 770 x 330 ) / 2310
GCD(770, 330) = 254100 / 2310
GCD(770, 330) = 110
Step2:
Here we consider the GCD from the above i.e. 110 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(110, 76) = 4180
GCD(110, 76) = ( 110 x 76 ) / 4180
GCD(110, 76) = 8360 / 4180
GCD(110, 76) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 587
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 587) = 1174
GCD(2, 587) = ( 2 x 587 ) / 1174
GCD(2, 587) = 1174 / 1174
GCD(2, 587) = 1
GCD of 770, 330, 76, 587 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 770, 330, 76, 587?
GCD of 770, 330, 76, 587 is 1
2. Where do I get the detailed procedure to find GCD of 770, 330, 76, 587?
You can find a detailed procedure to find GCD of 770, 330, 76, 587 on our page.
3. How to find GCD of 770, 330, 76, 587 on a calculator?
You can find the GCD of 770, 330, 76, 587 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.