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, 740, 462, 316 i.e. 1 largest integer that divides all the numbers equally.
GCD of 767, 740, 462, 316 is 1
GCD(767, 740, 462, 316) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 767, 740, 462, 316 is 1
GCD(767, 740, 462, 316) = 1
Given Input numbers are 767, 740, 462, 316
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 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Greatest Common Divisior
We found the divisors of 767, 740, 462, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 740, 462, 316 is 1.
Therefore, GCD of numbers 767, 740, 462, 316 is 1
Given Input Data is 767, 740, 462, 316
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 767 is 13 x 59
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 316 is 2 x 2 x 79
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, 740) = 567580
GCD(767, 740) = ( 767 x 740 ) / 567580
GCD(767, 740) = 567580 / 567580
GCD(767, 740) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 462
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
GCD(1, 462) = 462 / 462
GCD(1, 462) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 316
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 316) = 316
GCD(1, 316) = ( 1 x 316 ) / 316
GCD(1, 316) = 316 / 316
GCD(1, 316) = 1
GCD of 767, 740, 462, 316 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 767, 740, 462, 316?
GCD of 767, 740, 462, 316 is 1
2. Where do I get the detailed procedure to find GCD of 767, 740, 462, 316?
You can find a detailed procedure to find GCD of 767, 740, 462, 316 on our page.
3. How to find GCD of 767, 740, 462, 316 on a calculator?
You can find the GCD of 767, 740, 462, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.