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 154, 425, 279, 697 i.e. 1 largest integer that divides all the numbers equally.
GCD of 154, 425, 279, 697 is 1
GCD(154, 425, 279, 697) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 154, 425, 279, 697 is 1
GCD(154, 425, 279, 697) = 1
Given Input numbers are 154, 425, 279, 697
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Greatest Common Divisior
We found the divisors of 154, 425, 279, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 425, 279, 697 is 1.
Therefore, GCD of numbers 154, 425, 279, 697 is 1
Given Input Data is 154, 425, 279, 697
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 697 is 17 x 41
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(154, 425) = 65450
GCD(154, 425) = ( 154 x 425 ) / 65450
GCD(154, 425) = 65450 / 65450
GCD(154, 425) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 279) = 279
GCD(1, 279) = ( 1 x 279 ) / 279
GCD(1, 279) = 279 / 279
GCD(1, 279) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 697
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
GCD(1, 697) = 697 / 697
GCD(1, 697) = 1
GCD of 154, 425, 279, 697 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 154, 425, 279, 697?
GCD of 154, 425, 279, 697 is 1
2. Where do I get the detailed procedure to find GCD of 154, 425, 279, 697?
You can find a detailed procedure to find GCD of 154, 425, 279, 697 on our page.
3. How to find GCD of 154, 425, 279, 697 on a calculator?
You can find the GCD of 154, 425, 279, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.