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, 196, 697, 972 i.e. 1 largest integer that divides all the numbers equally.
GCD of 694, 196, 697, 972 is 1
GCD(694, 196, 697, 972) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 694, 196, 697, 972 is 1
GCD(694, 196, 697, 972) = 1
Given Input numbers are 694, 196, 697, 972
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 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Greatest Common Divisior
We found the divisors of 694, 196, 697, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 196, 697, 972 is 1.
Therefore, GCD of numbers 694, 196, 697, 972 is 1
Given Input Data is 694, 196, 697, 972
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 694 is 2 x 347
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 697 is 17 x 41
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
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, 196) = 68012
GCD(694, 196) = ( 694 x 196 ) / 68012
GCD(694, 196) = 136024 / 68012
GCD(694, 196) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 697
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 697) = 1394
GCD(2, 697) = ( 2 x 697 ) / 1394
GCD(2, 697) = 1394 / 1394
GCD(2, 697) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 972
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
GCD(1, 972) = 972 / 972
GCD(1, 972) = 1
GCD of 694, 196, 697, 972 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 694, 196, 697, 972?
GCD of 694, 196, 697, 972 is 1
2. Where do I get the detailed procedure to find GCD of 694, 196, 697, 972?
You can find a detailed procedure to find GCD of 694, 196, 697, 972 on our page.
3. How to find GCD of 694, 196, 697, 972 on a calculator?
You can find the GCD of 694, 196, 697, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.