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 694, 970, 253 i.e. 1 largest integer that divides all the numbers equally.
GCD of 694, 970, 253 is 1
GCD(694, 970, 253) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 694, 970, 253 is 1
GCD(694, 970, 253) = 1
Given Input numbers are 694, 970, 253
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 694
List of positive integer divisors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Greatest Common Divisior
We found the divisors of 694, 970, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 970, 253 is 1.
Therefore, GCD of numbers 694, 970, 253 is 1
Given Input Data is 694, 970, 253
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 694 is 2 x 347
Prime Factorization of 970 is 2 x 5 x 97
Prime Factorization of 253 is 11 x 23
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(694, 970) = 336590
GCD(694, 970) = ( 694 x 970 ) / 336590
GCD(694, 970) = 673180 / 336590
GCD(694, 970) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 253
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 253) = 506
GCD(2, 253) = ( 2 x 253 ) / 506
GCD(2, 253) = 506 / 506
GCD(2, 253) = 1
GCD of 694, 970, 253 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 694, 970, 253?
GCD of 694, 970, 253 is 1
2. Where do I get the detailed procedure to find GCD of 694, 970, 253?
You can find a detailed procedure to find GCD of 694, 970, 253 on our page.
3. How to find GCD of 694, 970, 253 on a calculator?
You can find the GCD of 694, 970, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.