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 182, 190, 780, 709 i.e. 1 largest integer that divides all the numbers equally.
GCD of 182, 190, 780, 709 is 1
GCD(182, 190, 780, 709) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 182, 190, 780, 709 is 1
GCD(182, 190, 780, 709) = 1
Given Input numbers are 182, 190, 780, 709
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Greatest Common Divisior
We found the divisors of 182, 190, 780, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 190, 780, 709 is 1.
Therefore, GCD of numbers 182, 190, 780, 709 is 1
Given Input Data is 182, 190, 780, 709
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 190 is 2 x 5 x 19
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 709 is 709
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(182, 190) = 17290
GCD(182, 190) = ( 182 x 190 ) / 17290
GCD(182, 190) = 34580 / 17290
GCD(182, 190) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 780
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 780) = 780
GCD(2, 780) = ( 2 x 780 ) / 780
GCD(2, 780) = 1560 / 780
GCD(2, 780) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 709
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 709) = 1418
GCD(2, 709) = ( 2 x 709 ) / 1418
GCD(2, 709) = 1418 / 1418
GCD(2, 709) = 1
GCD of 182, 190, 780, 709 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 182, 190, 780, 709?
GCD of 182, 190, 780, 709 is 1
2. Where do I get the detailed procedure to find GCD of 182, 190, 780, 709?
You can find a detailed procedure to find GCD of 182, 190, 780, 709 on our page.
3. How to find GCD of 182, 190, 780, 709 on a calculator?
You can find the GCD of 182, 190, 780, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.