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 329, 554, 948, 740 i.e. 1 largest integer that divides all the numbers equally.
GCD of 329, 554, 948, 740 is 1
GCD(329, 554, 948, 740) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 329, 554, 948, 740 is 1
GCD(329, 554, 948, 740) = 1
Given Input numbers are 329, 554, 948, 740
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 554
List of positive integer divisors of 554 that divides 554 without a remainder.
1, 2, 277, 554
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Greatest Common Divisior
We found the divisors of 329, 554, 948, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 554, 948, 740 is 1.
Therefore, GCD of numbers 329, 554, 948, 740 is 1
Given Input Data is 329, 554, 948, 740
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 329 is 7 x 47
Prime Factorization of 554 is 2 x 277
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 740 is 2 x 2 x 5 x 37
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(329, 554) = 182266
GCD(329, 554) = ( 329 x 554 ) / 182266
GCD(329, 554) = 182266 / 182266
GCD(329, 554) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 948
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 948) = 948
GCD(1, 948) = ( 1 x 948 ) / 948
GCD(1, 948) = 948 / 948
GCD(1, 948) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 740
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 740) = 740
GCD(1, 740) = ( 1 x 740 ) / 740
GCD(1, 740) = 740 / 740
GCD(1, 740) = 1
GCD of 329, 554, 948, 740 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 329, 554, 948, 740?
GCD of 329, 554, 948, 740 is 1
2. Where do I get the detailed procedure to find GCD of 329, 554, 948, 740?
You can find a detailed procedure to find GCD of 329, 554, 948, 740 on our page.
3. How to find GCD of 329, 554, 948, 740 on a calculator?
You can find the GCD of 329, 554, 948, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.