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, 518, 78, 690 i.e. 2 largest integer that divides all the numbers equally.
GCD of 700, 518, 78, 690 is 2
GCD(700, 518, 78, 690) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 700, 518, 78, 690 is 2
GCD(700, 518, 78, 690) = 2
Given Input numbers are 700, 518, 78, 690
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 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Greatest Common Divisior
We found the divisors of 700, 518, 78, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 518, 78, 690 is 2.
Therefore, GCD of numbers 700, 518, 78, 690 is 2
Given Input Data is 700, 518, 78, 690
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 518 is 2 x 7 x 37
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 690 is 2 x 3 x 5 x 23
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 518) = 25900
GCD(700, 518) = ( 700 x 518 ) / 25900
GCD(700, 518) = 362600 / 25900
GCD(700, 518) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 78) = 546
GCD(14, 78) = ( 14 x 78 ) / 546
GCD(14, 78) = 1092 / 546
GCD(14, 78) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 690
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 690) = 690
GCD(2, 690) = ( 2 x 690 ) / 690
GCD(2, 690) = 1380 / 690
GCD(2, 690) = 2
GCD of 700, 518, 78, 690 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 700, 518, 78, 690?
GCD of 700, 518, 78, 690 is 2
2. Where do I get the detailed procedure to find GCD of 700, 518, 78, 690?
You can find a detailed procedure to find GCD of 700, 518, 78, 690 on our page.
3. How to find GCD of 700, 518, 78, 690 on a calculator?
You can find the GCD of 700, 518, 78, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.