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 350, 845, 29, 707 i.e. 1 largest integer that divides all the numbers equally.
GCD of 350, 845, 29, 707 is 1
GCD(350, 845, 29, 707) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 350, 845, 29, 707 is 1
GCD(350, 845, 29, 707) = 1
Given Input numbers are 350, 845, 29, 707
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Greatest Common Divisior
We found the divisors of 350, 845, 29, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 845, 29, 707 is 1.
Therefore, GCD of numbers 350, 845, 29, 707 is 1
Given Input Data is 350, 845, 29, 707
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 29 is 29
Prime Factorization of 707 is 7 x 101
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(350, 845) = 59150
GCD(350, 845) = ( 350 x 845 ) / 59150
GCD(350, 845) = 295750 / 59150
GCD(350, 845) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 29) = 145
GCD(5, 29) = ( 5 x 29 ) / 145
GCD(5, 29) = 145 / 145
GCD(5, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
GCD(1, 707) = 707 / 707
GCD(1, 707) = 1
GCD of 350, 845, 29, 707 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 350, 845, 29, 707?
GCD of 350, 845, 29, 707 is 1
2. Where do I get the detailed procedure to find GCD of 350, 845, 29, 707?
You can find a detailed procedure to find GCD of 350, 845, 29, 707 on our page.
3. How to find GCD of 350, 845, 29, 707 on a calculator?
You can find the GCD of 350, 845, 29, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.