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 45, 841, 346, 787 i.e. 1 largest integer that divides all the numbers equally.
GCD of 45, 841, 346, 787 is 1
GCD(45, 841, 346, 787) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 45, 841, 346, 787 is 1
GCD(45, 841, 346, 787) = 1
Given Input numbers are 45, 841, 346, 787
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Greatest Common Divisior
We found the divisors of 45, 841, 346, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 841, 346, 787 is 1.
Therefore, GCD of numbers 45, 841, 346, 787 is 1
Given Input Data is 45, 841, 346, 787
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 841 is 29 x 29
Prime Factorization of 346 is 2 x 173
Prime Factorization of 787 is 787
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(45, 841) = 37845
GCD(45, 841) = ( 45 x 841 ) / 37845
GCD(45, 841) = 37845 / 37845
GCD(45, 841) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
GCD(1, 346) = 346 / 346
GCD(1, 346) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 787
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 787) = 787
GCD(1, 787) = ( 1 x 787 ) / 787
GCD(1, 787) = 787 / 787
GCD(1, 787) = 1
GCD of 45, 841, 346, 787 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 45, 841, 346, 787?
GCD of 45, 841, 346, 787 is 1
2. Where do I get the detailed procedure to find GCD of 45, 841, 346, 787?
You can find a detailed procedure to find GCD of 45, 841, 346, 787 on our page.
3. How to find GCD of 45, 841, 346, 787 on a calculator?
You can find the GCD of 45, 841, 346, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.