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 653, 929, 945, 338 i.e. 1 largest integer that divides all the numbers equally.
GCD of 653, 929, 945, 338 is 1
GCD(653, 929, 945, 338) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 653, 929, 945, 338 is 1
GCD(653, 929, 945, 338) = 1
Given Input numbers are 653, 929, 945, 338
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Divisors of 929
List of positive integer divisors of 929 that divides 929 without a remainder.
1, 929
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Greatest Common Divisior
We found the divisors of 653, 929, 945, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 653, 929, 945, 338 is 1.
Therefore, GCD of numbers 653, 929, 945, 338 is 1
Given Input Data is 653, 929, 945, 338
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 653 is 653
Prime Factorization of 929 is 929
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 338 is 2 x 13 x 13
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(653, 929) = 606637
GCD(653, 929) = ( 653 x 929 ) / 606637
GCD(653, 929) = 606637 / 606637
GCD(653, 929) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 945
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 945) = 945
GCD(1, 945) = ( 1 x 945 ) / 945
GCD(1, 945) = 945 / 945
GCD(1, 945) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 338
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
GCD(1, 338) = 338 / 338
GCD(1, 338) = 1
GCD of 653, 929, 945, 338 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 653, 929, 945, 338?
GCD of 653, 929, 945, 338 is 1
2. Where do I get the detailed procedure to find GCD of 653, 929, 945, 338?
You can find a detailed procedure to find GCD of 653, 929, 945, 338 on our page.
3. How to find GCD of 653, 929, 945, 338 on a calculator?
You can find the GCD of 653, 929, 945, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.