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 151, 349, 90, 341 i.e. 1 largest integer that divides all the numbers equally.
GCD of 151, 349, 90, 341 is 1
GCD(151, 349, 90, 341) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 151, 349, 90, 341 is 1
GCD(151, 349, 90, 341) = 1
Given Input numbers are 151, 349, 90, 341
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 151
List of positive integer divisors of 151 that divides 151 without a remainder.
1, 151
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Greatest Common Divisior
We found the divisors of 151, 349, 90, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 151, 349, 90, 341 is 1.
Therefore, GCD of numbers 151, 349, 90, 341 is 1
Given Input Data is 151, 349, 90, 341
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 151 is 151
Prime Factorization of 349 is 349
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 341 is 11 x 31
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(151, 349) = 52699
GCD(151, 349) = ( 151 x 349 ) / 52699
GCD(151, 349) = 52699 / 52699
GCD(151, 349) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 341
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 341) = 341
GCD(1, 341) = ( 1 x 341 ) / 341
GCD(1, 341) = 341 / 341
GCD(1, 341) = 1
GCD of 151, 349, 90, 341 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 151, 349, 90, 341?
GCD of 151, 349, 90, 341 is 1
2. Where do I get the detailed procedure to find GCD of 151, 349, 90, 341?
You can find a detailed procedure to find GCD of 151, 349, 90, 341 on our page.
3. How to find GCD of 151, 349, 90, 341 on a calculator?
You can find the GCD of 151, 349, 90, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.