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 154, 529, 363, 946 i.e. 1 largest integer that divides all the numbers equally.
GCD of 154, 529, 363, 946 is 1
GCD(154, 529, 363, 946) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 154, 529, 363, 946 is 1
GCD(154, 529, 363, 946) = 1
Given Input numbers are 154, 529, 363, 946
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Greatest Common Divisior
We found the divisors of 154, 529, 363, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 529, 363, 946 is 1.
Therefore, GCD of numbers 154, 529, 363, 946 is 1
Given Input Data is 154, 529, 363, 946
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 529 is 23 x 23
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 946 is 2 x 11 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(154, 529) = 81466
GCD(154, 529) = ( 154 x 529 ) / 81466
GCD(154, 529) = 81466 / 81466
GCD(154, 529) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 363
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 363) = 363
GCD(1, 363) = ( 1 x 363 ) / 363
GCD(1, 363) = 363 / 363
GCD(1, 363) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 946) = 946
GCD(1, 946) = ( 1 x 946 ) / 946
GCD(1, 946) = 946 / 946
GCD(1, 946) = 1
GCD of 154, 529, 363, 946 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 154, 529, 363, 946?
GCD of 154, 529, 363, 946 is 1
2. Where do I get the detailed procedure to find GCD of 154, 529, 363, 946?
You can find a detailed procedure to find GCD of 154, 529, 363, 946 on our page.
3. How to find GCD of 154, 529, 363, 946 on a calculator?
You can find the GCD of 154, 529, 363, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.