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 543, 723, 98, 700 i.e. 1 largest integer that divides all the numbers equally.
GCD of 543, 723, 98, 700 is 1
GCD(543, 723, 98, 700) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 543, 723, 98, 700 is 1
GCD(543, 723, 98, 700) = 1
Given Input numbers are 543, 723, 98, 700
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
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 543, 723, 98, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 543, 723, 98, 700 is 1.
Therefore, GCD of numbers 543, 723, 98, 700 is 1
Given Input Data is 543, 723, 98, 700
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 543 is 3 x 181
Prime Factorization of 723 is 3 x 241
Prime Factorization of 98 is 2 x 7 x 7
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(543, 723) = 130863
GCD(543, 723) = ( 543 x 723 ) / 130863
GCD(543, 723) = 392589 / 130863
GCD(543, 723) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 98) = 294
GCD(3, 98) = ( 3 x 98 ) / 294
GCD(3, 98) = 294 / 294
GCD(3, 98) = 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 543, 723, 98, 700 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 543, 723, 98, 700?
GCD of 543, 723, 98, 700 is 1
2. Where do I get the detailed procedure to find GCD of 543, 723, 98, 700?
You can find a detailed procedure to find GCD of 543, 723, 98, 700 on our page.
3. How to find GCD of 543, 723, 98, 700 on a calculator?
You can find the GCD of 543, 723, 98, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.