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 845, 377, 51, 154 i.e. 1 largest integer that divides all the numbers equally.
GCD of 845, 377, 51, 154 is 1
GCD(845, 377, 51, 154) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 845, 377, 51, 154 is 1
GCD(845, 377, 51, 154) = 1
Given Input numbers are 845, 377, 51, 154
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Greatest Common Divisior
We found the divisors of 845, 377, 51, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 377, 51, 154 is 1.
Therefore, GCD of numbers 845, 377, 51, 154 is 1
Given Input Data is 845, 377, 51, 154
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 377 is 13 x 29
Prime Factorization of 51 is 3 x 17
Prime Factorization of 154 is 2 x 7 x 11
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(845, 377) = 24505
GCD(845, 377) = ( 845 x 377 ) / 24505
GCD(845, 377) = 318565 / 24505
GCD(845, 377) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 51) = 663
GCD(13, 51) = ( 13 x 51 ) / 663
GCD(13, 51) = 663 / 663
GCD(13, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 154
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 154) = 154
GCD(1, 154) = ( 1 x 154 ) / 154
GCD(1, 154) = 154 / 154
GCD(1, 154) = 1
GCD of 845, 377, 51, 154 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 845, 377, 51, 154?
GCD of 845, 377, 51, 154 is 1
2. Where do I get the detailed procedure to find GCD of 845, 377, 51, 154?
You can find a detailed procedure to find GCD of 845, 377, 51, 154 on our page.
3. How to find GCD of 845, 377, 51, 154 on a calculator?
You can find the GCD of 845, 377, 51, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.