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, 840, 820, 747 i.e. 1 largest integer that divides all the numbers equally.
GCD of 766, 840, 820, 747 is 1
GCD(766, 840, 820, 747) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 766, 840, 820, 747 is 1
GCD(766, 840, 820, 747) = 1
Given Input numbers are 766, 840, 820, 747
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 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Greatest Common Divisior
We found the divisors of 766, 840, 820, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 840, 820, 747 is 1.
Therefore, GCD of numbers 766, 840, 820, 747 is 1
Given Input Data is 766, 840, 820, 747
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 766 is 2 x 383
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 747 is 3 x 3 x 83
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, 840) = 321720
GCD(766, 840) = ( 766 x 840 ) / 321720
GCD(766, 840) = 643440 / 321720
GCD(766, 840) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 820
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 820) = 820
GCD(2, 820) = ( 2 x 820 ) / 820
GCD(2, 820) = 1640 / 820
GCD(2, 820) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 747
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 747) = 1494
GCD(2, 747) = ( 2 x 747 ) / 1494
GCD(2, 747) = 1494 / 1494
GCD(2, 747) = 1
GCD of 766, 840, 820, 747 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 766, 840, 820, 747?
GCD of 766, 840, 820, 747 is 1
2. Where do I get the detailed procedure to find GCD of 766, 840, 820, 747?
You can find a detailed procedure to find GCD of 766, 840, 820, 747 on our page.
3. How to find GCD of 766, 840, 820, 747 on a calculator?
You can find the GCD of 766, 840, 820, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.