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 710, 949, 29, 736 i.e. 1 largest integer that divides all the numbers equally.
GCD of 710, 949, 29, 736 is 1
GCD(710, 949, 29, 736) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 710, 949, 29, 736 is 1
GCD(710, 949, 29, 736) = 1
Given Input numbers are 710, 949, 29, 736
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Greatest Common Divisior
We found the divisors of 710, 949, 29, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 949, 29, 736 is 1.
Therefore, GCD of numbers 710, 949, 29, 736 is 1
Given Input Data is 710, 949, 29, 736
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 949 is 13 x 73
Prime Factorization of 29 is 29
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
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(710, 949) = 673790
GCD(710, 949) = ( 710 x 949 ) / 673790
GCD(710, 949) = 673790 / 673790
GCD(710, 949) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 29) = 29
GCD(1, 29) = ( 1 x 29 ) / 29
GCD(1, 29) = 29 / 29
GCD(1, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 736
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 736) = 736
GCD(1, 736) = ( 1 x 736 ) / 736
GCD(1, 736) = 736 / 736
GCD(1, 736) = 1
GCD of 710, 949, 29, 736 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 710, 949, 29, 736?
GCD of 710, 949, 29, 736 is 1
2. Where do I get the detailed procedure to find GCD of 710, 949, 29, 736?
You can find a detailed procedure to find GCD of 710, 949, 29, 736 on our page.
3. How to find GCD of 710, 949, 29, 736 on a calculator?
You can find the GCD of 710, 949, 29, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.