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 846, 617, 724, 949 i.e. 1 largest integer that divides all the numbers equally.
GCD of 846, 617, 724, 949 is 1
GCD(846, 617, 724, 949) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 846, 617, 724, 949 is 1
GCD(846, 617, 724, 949) = 1
Given Input numbers are 846, 617, 724, 949
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Greatest Common Divisior
We found the divisors of 846, 617, 724, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 846, 617, 724, 949 is 1.
Therefore, GCD of numbers 846, 617, 724, 949 is 1
Given Input Data is 846, 617, 724, 949
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 846 is 2 x 3 x 3 x 47
Prime Factorization of 617 is 617
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 949 is 13 x 73
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(846, 617) = 521982
GCD(846, 617) = ( 846 x 617 ) / 521982
GCD(846, 617) = 521982 / 521982
GCD(846, 617) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 724
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
GCD(1, 724) = 724 / 724
GCD(1, 724) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 949
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 949) = 949
GCD(1, 949) = ( 1 x 949 ) / 949
GCD(1, 949) = 949 / 949
GCD(1, 949) = 1
GCD of 846, 617, 724, 949 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 846, 617, 724, 949?
GCD of 846, 617, 724, 949 is 1
2. Where do I get the detailed procedure to find GCD of 846, 617, 724, 949?
You can find a detailed procedure to find GCD of 846, 617, 724, 949 on our page.
3. How to find GCD of 846, 617, 724, 949 on a calculator?
You can find the GCD of 846, 617, 724, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.