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 795, 692, 782, 141 i.e. 1 largest integer that divides all the numbers equally.
GCD of 795, 692, 782, 141 is 1
GCD(795, 692, 782, 141) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 795, 692, 782, 141 is 1
GCD(795, 692, 782, 141) = 1
Given Input numbers are 795, 692, 782, 141
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 795
List of positive integer divisors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Greatest Common Divisior
We found the divisors of 795, 692, 782, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 692, 782, 141 is 1.
Therefore, GCD of numbers 795, 692, 782, 141 is 1
Given Input Data is 795, 692, 782, 141
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 795 is 3 x 5 x 53
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 782 is 2 x 17 x 23
Prime Factorization of 141 is 3 x 47
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(795, 692) = 550140
GCD(795, 692) = ( 795 x 692 ) / 550140
GCD(795, 692) = 550140 / 550140
GCD(795, 692) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 782
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 782) = 782
GCD(1, 782) = ( 1 x 782 ) / 782
GCD(1, 782) = 782 / 782
GCD(1, 782) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 141
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 141) = 141
GCD(1, 141) = ( 1 x 141 ) / 141
GCD(1, 141) = 141 / 141
GCD(1, 141) = 1
GCD of 795, 692, 782, 141 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 795, 692, 782, 141?
GCD of 795, 692, 782, 141 is 1
2. Where do I get the detailed procedure to find GCD of 795, 692, 782, 141?
You can find a detailed procedure to find GCD of 795, 692, 782, 141 on our page.
3. How to find GCD of 795, 692, 782, 141 on a calculator?
You can find the GCD of 795, 692, 782, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.