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 767, 154, 416, 330 i.e. 1 largest integer that divides all the numbers equally.
GCD of 767, 154, 416, 330 is 1
GCD(767, 154, 416, 330) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 767, 154, 416, 330 is 1
GCD(767, 154, 416, 330) = 1
Given Input numbers are 767, 154, 416, 330
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 416
List of positive integer divisors of 416 that divides 416 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
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
Greatest Common Divisior
We found the divisors of 767, 154, 416, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 154, 416, 330 is 1.
Therefore, GCD of numbers 767, 154, 416, 330 is 1
Given Input Data is 767, 154, 416, 330
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 767 is 13 x 59
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 330 is 2 x 3 x 5 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(767, 154) = 118118
GCD(767, 154) = ( 767 x 154 ) / 118118
GCD(767, 154) = 118118 / 118118
GCD(767, 154) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 416
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 416) = 416
GCD(1, 416) = ( 1 x 416 ) / 416
GCD(1, 416) = 416 / 416
GCD(1, 416) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 330
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 330) = 330
GCD(1, 330) = ( 1 x 330 ) / 330
GCD(1, 330) = 330 / 330
GCD(1, 330) = 1
GCD of 767, 154, 416, 330 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 767, 154, 416, 330?
GCD of 767, 154, 416, 330 is 1
2. Where do I get the detailed procedure to find GCD of 767, 154, 416, 330?
You can find a detailed procedure to find GCD of 767, 154, 416, 330 on our page.
3. How to find GCD of 767, 154, 416, 330 on a calculator?
You can find the GCD of 767, 154, 416, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.