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 29, 803, 770, 315 i.e. 1 largest integer that divides all the numbers equally.
GCD of 29, 803, 770, 315 is 1
GCD(29, 803, 770, 315) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 29, 803, 770, 315 is 1
GCD(29, 803, 770, 315) = 1
Given Input numbers are 29, 803, 770, 315
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 803
List of positive integer divisors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Greatest Common Divisior
We found the divisors of 29, 803, 770, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 803, 770, 315 is 1.
Therefore, GCD of numbers 29, 803, 770, 315 is 1
Given Input Data is 29, 803, 770, 315
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 29 is 29
Prime Factorization of 803 is 11 x 73
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 315 is 3 x 3 x 5 x 7
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(29, 803) = 23287
GCD(29, 803) = ( 29 x 803 ) / 23287
GCD(29, 803) = 23287 / 23287
GCD(29, 803) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 770
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 770) = 770
GCD(1, 770) = ( 1 x 770 ) / 770
GCD(1, 770) = 770 / 770
GCD(1, 770) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 315
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 315) = 315
GCD(1, 315) = ( 1 x 315 ) / 315
GCD(1, 315) = 315 / 315
GCD(1, 315) = 1
GCD of 29, 803, 770, 315 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 29, 803, 770, 315?
GCD of 29, 803, 770, 315 is 1
2. Where do I get the detailed procedure to find GCD of 29, 803, 770, 315?
You can find a detailed procedure to find GCD of 29, 803, 770, 315 on our page.
3. How to find GCD of 29, 803, 770, 315 on a calculator?
You can find the GCD of 29, 803, 770, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.