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 274, 279, 699, 668 i.e. 1 largest integer that divides all the numbers equally.
GCD of 274, 279, 699, 668 is 1
GCD(274, 279, 699, 668) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 274, 279, 699, 668 is 1
GCD(274, 279, 699, 668) = 1
Given Input numbers are 274, 279, 699, 668
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Greatest Common Divisior
We found the divisors of 274, 279, 699, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 279, 699, 668 is 1.
Therefore, GCD of numbers 274, 279, 699, 668 is 1
Given Input Data is 274, 279, 699, 668
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 274 is 2 x 137
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 699 is 3 x 233
Prime Factorization of 668 is 2 x 2 x 167
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(274, 279) = 76446
GCD(274, 279) = ( 274 x 279 ) / 76446
GCD(274, 279) = 76446 / 76446
GCD(274, 279) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 699
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 699) = 699
GCD(1, 699) = ( 1 x 699 ) / 699
GCD(1, 699) = 699 / 699
GCD(1, 699) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 668
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 668) = 668
GCD(1, 668) = ( 1 x 668 ) / 668
GCD(1, 668) = 668 / 668
GCD(1, 668) = 1
GCD of 274, 279, 699, 668 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 274, 279, 699, 668?
GCD of 274, 279, 699, 668 is 1
2. Where do I get the detailed procedure to find GCD of 274, 279, 699, 668?
You can find a detailed procedure to find GCD of 274, 279, 699, 668 on our page.
3. How to find GCD of 274, 279, 699, 668 on a calculator?
You can find the GCD of 274, 279, 699, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.