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 657, 142, 800, 500 i.e. 1 largest integer that divides all the numbers equally.
GCD of 657, 142, 800, 500 is 1
GCD(657, 142, 800, 500) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 657, 142, 800, 500 is 1
GCD(657, 142, 800, 500) = 1
Given Input numbers are 657, 142, 800, 500
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Greatest Common Divisior
We found the divisors of 657, 142, 800, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 142, 800, 500 is 1.
Therefore, GCD of numbers 657, 142, 800, 500 is 1
Given Input Data is 657, 142, 800, 500
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 142 is 2 x 71
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
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(657, 142) = 93294
GCD(657, 142) = ( 657 x 142 ) / 93294
GCD(657, 142) = 93294 / 93294
GCD(657, 142) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 800
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 800) = 800
GCD(1, 800) = ( 1 x 800 ) / 800
GCD(1, 800) = 800 / 800
GCD(1, 800) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 500
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 500) = 500
GCD(1, 500) = ( 1 x 500 ) / 500
GCD(1, 500) = 500 / 500
GCD(1, 500) = 1
GCD of 657, 142, 800, 500 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 657, 142, 800, 500?
GCD of 657, 142, 800, 500 is 1
2. Where do I get the detailed procedure to find GCD of 657, 142, 800, 500?
You can find a detailed procedure to find GCD of 657, 142, 800, 500 on our page.
3. How to find GCD of 657, 142, 800, 500 on a calculator?
You can find the GCD of 657, 142, 800, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.