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 542, 629, 500, 700 i.e. 1 largest integer that divides all the numbers equally.
GCD of 542, 629, 500, 700 is 1
GCD(542, 629, 500, 700) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 542, 629, 500, 700 is 1
GCD(542, 629, 500, 700) = 1
Given Input numbers are 542, 629, 500, 700
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
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
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Greatest Common Divisior
We found the divisors of 542, 629, 500, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 629, 500, 700 is 1.
Therefore, GCD of numbers 542, 629, 500, 700 is 1
Given Input Data is 542, 629, 500, 700
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 542 is 2 x 271
Prime Factorization of 629 is 17 x 37
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
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(542, 629) = 340918
GCD(542, 629) = ( 542 x 629 ) / 340918
GCD(542, 629) = 340918 / 340918
GCD(542, 629) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 700
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 700) = 700
GCD(1, 700) = ( 1 x 700 ) / 700
GCD(1, 700) = 700 / 700
GCD(1, 700) = 1
GCD of 542, 629, 500, 700 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 542, 629, 500, 700?
GCD of 542, 629, 500, 700 is 1
2. Where do I get the detailed procedure to find GCD of 542, 629, 500, 700?
You can find a detailed procedure to find GCD of 542, 629, 500, 700 on our page.
3. How to find GCD of 542, 629, 500, 700 on a calculator?
You can find the GCD of 542, 629, 500, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.