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, 652, 128, 542 i.e. 1 largest integer that divides all the numbers equally.
GCD of 457, 652, 128, 542 is 1
GCD(457, 652, 128, 542) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 457, 652, 128, 542 is 1
GCD(457, 652, 128, 542) = 1
Given Input numbers are 457, 652, 128, 542
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 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Greatest Common Divisior
We found the divisors of 457, 652, 128, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 652, 128, 542 is 1.
Therefore, GCD of numbers 457, 652, 128, 542 is 1
Given Input Data is 457, 652, 128, 542
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 457 is 457
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 542 is 2 x 271
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, 652) = 297964
GCD(457, 652) = ( 457 x 652 ) / 297964
GCD(457, 652) = 297964 / 297964
GCD(457, 652) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 128
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 128) = 128
GCD(1, 128) = ( 1 x 128 ) / 128
GCD(1, 128) = 128 / 128
GCD(1, 128) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 542
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 542) = 542
GCD(1, 542) = ( 1 x 542 ) / 542
GCD(1, 542) = 542 / 542
GCD(1, 542) = 1
GCD of 457, 652, 128, 542 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 457, 652, 128, 542?
GCD of 457, 652, 128, 542 is 1
2. Where do I get the detailed procedure to find GCD of 457, 652, 128, 542?
You can find a detailed procedure to find GCD of 457, 652, 128, 542 on our page.
3. How to find GCD of 457, 652, 128, 542 on a calculator?
You can find the GCD of 457, 652, 128, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.