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, 377, 54, 849 i.e. 1 largest integer that divides all the numbers equally.
GCD of 350, 377, 54, 849 is 1
GCD(350, 377, 54, 849) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 350, 377, 54, 849 is 1
GCD(350, 377, 54, 849) = 1
Given Input numbers are 350, 377, 54, 849
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 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Greatest Common Divisior
We found the divisors of 350, 377, 54, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 377, 54, 849 is 1.
Therefore, GCD of numbers 350, 377, 54, 849 is 1
Given Input Data is 350, 377, 54, 849
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 377 is 13 x 29
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 849 is 3 x 283
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, 377) = 131950
GCD(350, 377) = ( 350 x 377 ) / 131950
GCD(350, 377) = 131950 / 131950
GCD(350, 377) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 54) = 54
GCD(1, 54) = ( 1 x 54 ) / 54
GCD(1, 54) = 54 / 54
GCD(1, 54) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 849
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 849) = 849
GCD(1, 849) = ( 1 x 849 ) / 849
GCD(1, 849) = 849 / 849
GCD(1, 849) = 1
GCD of 350, 377, 54, 849 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 350, 377, 54, 849?
GCD of 350, 377, 54, 849 is 1
2. Where do I get the detailed procedure to find GCD of 350, 377, 54, 849?
You can find a detailed procedure to find GCD of 350, 377, 54, 849 on our page.
3. How to find GCD of 350, 377, 54, 849 on a calculator?
You can find the GCD of 350, 377, 54, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.