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 766, 514, 807, 442 i.e. 1 largest integer that divides all the numbers equally.
GCD of 766, 514, 807, 442 is 1
GCD(766, 514, 807, 442) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 766, 514, 807, 442 is 1
GCD(766, 514, 807, 442) = 1
Given Input numbers are 766, 514, 807, 442
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Greatest Common Divisior
We found the divisors of 766, 514, 807, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 514, 807, 442 is 1.
Therefore, GCD of numbers 766, 514, 807, 442 is 1
Given Input Data is 766, 514, 807, 442
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 766 is 2 x 383
Prime Factorization of 514 is 2 x 257
Prime Factorization of 807 is 3 x 269
Prime Factorization of 442 is 2 x 13 x 17
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(766, 514) = 196862
GCD(766, 514) = ( 766 x 514 ) / 196862
GCD(766, 514) = 393724 / 196862
GCD(766, 514) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 807
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 807) = 1614
GCD(2, 807) = ( 2 x 807 ) / 1614
GCD(2, 807) = 1614 / 1614
GCD(2, 807) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 442
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
GCD(1, 442) = 442 / 442
GCD(1, 442) = 1
GCD of 766, 514, 807, 442 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 766, 514, 807, 442?
GCD of 766, 514, 807, 442 is 1
2. Where do I get the detailed procedure to find GCD of 766, 514, 807, 442?
You can find a detailed procedure to find GCD of 766, 514, 807, 442 on our page.
3. How to find GCD of 766, 514, 807, 442 on a calculator?
You can find the GCD of 766, 514, 807, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.