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 457, 925, 532, 342 i.e. 1 largest integer that divides all the numbers equally.
GCD of 457, 925, 532, 342 is 1
GCD(457, 925, 532, 342) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 457, 925, 532, 342 is 1
GCD(457, 925, 532, 342) = 1
Given Input numbers are 457, 925, 532, 342
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Greatest Common Divisior
We found the divisors of 457, 925, 532, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 925, 532, 342 is 1.
Therefore, GCD of numbers 457, 925, 532, 342 is 1
Given Input Data is 457, 925, 532, 342
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 457 is 457
Prime Factorization of 925 is 5 x 5 x 37
Prime Factorization of 532 is 2 x 2 x 7 x 19
Prime Factorization of 342 is 2 x 3 x 3 x 19
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(457, 925) = 422725
GCD(457, 925) = ( 457 x 925 ) / 422725
GCD(457, 925) = 422725 / 422725
GCD(457, 925) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 532
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 532) = 532
GCD(1, 532) = ( 1 x 532 ) / 532
GCD(1, 532) = 532 / 532
GCD(1, 532) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 342
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
GCD(1, 342) = 342 / 342
GCD(1, 342) = 1
GCD of 457, 925, 532, 342 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 457, 925, 532, 342?
GCD of 457, 925, 532, 342 is 1
2. Where do I get the detailed procedure to find GCD of 457, 925, 532, 342?
You can find a detailed procedure to find GCD of 457, 925, 532, 342 on our page.
3. How to find GCD of 457, 925, 532, 342 on a calculator?
You can find the GCD of 457, 925, 532, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.