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 762, 272, 41, 399 i.e. 1 largest integer that divides all the numbers equally.
GCD of 762, 272, 41, 399 is 1
GCD(762, 272, 41, 399) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 762, 272, 41, 399 is 1
GCD(762, 272, 41, 399) = 1
Given Input numbers are 762, 272, 41, 399
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Greatest Common Divisior
We found the divisors of 762, 272, 41, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 272, 41, 399 is 1.
Therefore, GCD of numbers 762, 272, 41, 399 is 1
Given Input Data is 762, 272, 41, 399
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 41 is 41
Prime Factorization of 399 is 3 x 7 x 19
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(762, 272) = 103632
GCD(762, 272) = ( 762 x 272 ) / 103632
GCD(762, 272) = 207264 / 103632
GCD(762, 272) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 41) = 82
GCD(2, 41) = ( 2 x 41 ) / 82
GCD(2, 41) = 82 / 82
GCD(2, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 399
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 399) = 399
GCD(1, 399) = ( 1 x 399 ) / 399
GCD(1, 399) = 399 / 399
GCD(1, 399) = 1
GCD of 762, 272, 41, 399 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 762, 272, 41, 399?
GCD of 762, 272, 41, 399 is 1
2. Where do I get the detailed procedure to find GCD of 762, 272, 41, 399?
You can find a detailed procedure to find GCD of 762, 272, 41, 399 on our page.
3. How to find GCD of 762, 272, 41, 399 on a calculator?
You can find the GCD of 762, 272, 41, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.