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 949, 782, 645, 835 i.e. 1 largest integer that divides all the numbers equally.
GCD of 949, 782, 645, 835 is 1
GCD(949, 782, 645, 835) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 949, 782, 645, 835 is 1
GCD(949, 782, 645, 835) = 1
Given Input numbers are 949, 782, 645, 835
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
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 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
Greatest Common Divisior
We found the divisors of 949, 782, 645, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 782, 645, 835 is 1.
Therefore, GCD of numbers 949, 782, 645, 835 is 1
Given Input Data is 949, 782, 645, 835
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 949 is 13 x 73
Prime Factorization of 782 is 2 x 17 x 23
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 835 is 5 x 167
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(949, 782) = 742118
GCD(949, 782) = ( 949 x 782 ) / 742118
GCD(949, 782) = 742118 / 742118
GCD(949, 782) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 645
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 645) = 645
GCD(1, 645) = ( 1 x 645 ) / 645
GCD(1, 645) = 645 / 645
GCD(1, 645) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 835
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 835) = 835
GCD(1, 835) = ( 1 x 835 ) / 835
GCD(1, 835) = 835 / 835
GCD(1, 835) = 1
GCD of 949, 782, 645, 835 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 949, 782, 645, 835?
GCD of 949, 782, 645, 835 is 1
2. Where do I get the detailed procedure to find GCD of 949, 782, 645, 835?
You can find a detailed procedure to find GCD of 949, 782, 645, 835 on our page.
3. How to find GCD of 949, 782, 645, 835 on a calculator?
You can find the GCD of 949, 782, 645, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.