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 602, 457, 278, 311 i.e. 1 largest integer that divides all the numbers equally.
GCD of 602, 457, 278, 311 is 1
GCD(602, 457, 278, 311) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 602, 457, 278, 311 is 1
GCD(602, 457, 278, 311) = 1
Given Input numbers are 602, 457, 278, 311
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Greatest Common Divisior
We found the divisors of 602, 457, 278, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 602, 457, 278, 311 is 1.
Therefore, GCD of numbers 602, 457, 278, 311 is 1
Given Input Data is 602, 457, 278, 311
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 602 is 2 x 7 x 43
Prime Factorization of 457 is 457
Prime Factorization of 278 is 2 x 139
Prime Factorization of 311 is 311
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(602, 457) = 275114
GCD(602, 457) = ( 602 x 457 ) / 275114
GCD(602, 457) = 275114 / 275114
GCD(602, 457) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 278
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 278) = 278
GCD(1, 278) = ( 1 x 278 ) / 278
GCD(1, 278) = 278 / 278
GCD(1, 278) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 311
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 311) = 311
GCD(1, 311) = ( 1 x 311 ) / 311
GCD(1, 311) = 311 / 311
GCD(1, 311) = 1
GCD of 602, 457, 278, 311 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 602, 457, 278, 311?
GCD of 602, 457, 278, 311 is 1
2. Where do I get the detailed procedure to find GCD of 602, 457, 278, 311?
You can find a detailed procedure to find GCD of 602, 457, 278, 311 on our page.
3. How to find GCD of 602, 457, 278, 311 on a calculator?
You can find the GCD of 602, 457, 278, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.