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, 337, 870, 645 i.e. 1 largest integer that divides all the numbers equally.
GCD of 29, 337, 870, 645 is 1
GCD(29, 337, 870, 645) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 29, 337, 870, 645 is 1
GCD(29, 337, 870, 645) = 1
Given Input numbers are 29, 337, 870, 645
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 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Divisors of 870
List of positive integer divisors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Greatest Common Divisior
We found the divisors of 29, 337, 870, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 337, 870, 645 is 1.
Therefore, GCD of numbers 29, 337, 870, 645 is 1
Given Input Data is 29, 337, 870, 645
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 29 is 29
Prime Factorization of 337 is 337
Prime Factorization of 870 is 2 x 3 x 5 x 29
Prime Factorization of 645 is 3 x 5 x 43
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, 337) = 9773
GCD(29, 337) = ( 29 x 337 ) / 9773
GCD(29, 337) = 9773 / 9773
GCD(29, 337) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 870
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 870) = 870
GCD(1, 870) = ( 1 x 870 ) / 870
GCD(1, 870) = 870 / 870
GCD(1, 870) = 1
Step3:
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
GCD of 29, 337, 870, 645 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 29, 337, 870, 645?
GCD of 29, 337, 870, 645 is 1
2. Where do I get the detailed procedure to find GCD of 29, 337, 870, 645?
You can find a detailed procedure to find GCD of 29, 337, 870, 645 on our page.
3. How to find GCD of 29, 337, 870, 645 on a calculator?
You can find the GCD of 29, 337, 870, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.