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 690, 515, 68, 753 i.e. 1 largest integer that divides all the numbers equally.
GCD of 690, 515, 68, 753 is 1
GCD(690, 515, 68, 753) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 690, 515, 68, 753 is 1
GCD(690, 515, 68, 753) = 1
Given Input numbers are 690, 515, 68, 753
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 515
List of positive integer divisors of 515 that divides 515 without a remainder.
1, 5, 103, 515
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Greatest Common Divisior
We found the divisors of 690, 515, 68, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 515, 68, 753 is 1.
Therefore, GCD of numbers 690, 515, 68, 753 is 1
Given Input Data is 690, 515, 68, 753
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 515 is 5 x 103
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 753 is 3 x 251
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(690, 515) = 71070
GCD(690, 515) = ( 690 x 515 ) / 71070
GCD(690, 515) = 355350 / 71070
GCD(690, 515) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 68) = 340
GCD(5, 68) = ( 5 x 68 ) / 340
GCD(5, 68) = 340 / 340
GCD(5, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 753) = 753
GCD(1, 753) = ( 1 x 753 ) / 753
GCD(1, 753) = 753 / 753
GCD(1, 753) = 1
GCD of 690, 515, 68, 753 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 690, 515, 68, 753?
GCD of 690, 515, 68, 753 is 1
2. Where do I get the detailed procedure to find GCD of 690, 515, 68, 753?
You can find a detailed procedure to find GCD of 690, 515, 68, 753 on our page.
3. How to find GCD of 690, 515, 68, 753 on a calculator?
You can find the GCD of 690, 515, 68, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.