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 700, 519, 718, 668 i.e. 1 largest integer that divides all the numbers equally.
GCD of 700, 519, 718, 668 is 1
GCD(700, 519, 718, 668) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 700, 519, 718, 668 is 1
GCD(700, 519, 718, 668) = 1
Given Input numbers are 700, 519, 718, 668
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 519
List of positive integer divisors of 519 that divides 519 without a remainder.
1, 3, 173, 519
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Greatest Common Divisior
We found the divisors of 700, 519, 718, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 519, 718, 668 is 1.
Therefore, GCD of numbers 700, 519, 718, 668 is 1
Given Input Data is 700, 519, 718, 668
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 519 is 3 x 173
Prime Factorization of 718 is 2 x 359
Prime Factorization of 668 is 2 x 2 x 167
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(700, 519) = 363300
GCD(700, 519) = ( 700 x 519 ) / 363300
GCD(700, 519) = 363300 / 363300
GCD(700, 519) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 718
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 718) = 718
GCD(1, 718) = ( 1 x 718 ) / 718
GCD(1, 718) = 718 / 718
GCD(1, 718) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 668
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 668) = 668
GCD(1, 668) = ( 1 x 668 ) / 668
GCD(1, 668) = 668 / 668
GCD(1, 668) = 1
GCD of 700, 519, 718, 668 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 700, 519, 718, 668?
GCD of 700, 519, 718, 668 is 1
2. Where do I get the detailed procedure to find GCD of 700, 519, 718, 668?
You can find a detailed procedure to find GCD of 700, 519, 718, 668 on our page.
3. How to find GCD of 700, 519, 718, 668 on a calculator?
You can find the GCD of 700, 519, 718, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.