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 253, 676, 435, 339 i.e. 1 largest integer that divides all the numbers equally.
GCD of 253, 676, 435, 339 is 1
GCD(253, 676, 435, 339) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 253, 676, 435, 339 is 1
GCD(253, 676, 435, 339) = 1
Given Input numbers are 253, 676, 435, 339
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Greatest Common Divisior
We found the divisors of 253, 676, 435, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 676, 435, 339 is 1.
Therefore, GCD of numbers 253, 676, 435, 339 is 1
Given Input Data is 253, 676, 435, 339
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 253 is 11 x 23
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 435 is 3 x 5 x 29
Prime Factorization of 339 is 3 x 113
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(253, 676) = 171028
GCD(253, 676) = ( 253 x 676 ) / 171028
GCD(253, 676) = 171028 / 171028
GCD(253, 676) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 435) = 435
GCD(1, 435) = ( 1 x 435 ) / 435
GCD(1, 435) = 435 / 435
GCD(1, 435) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 339) = 339
GCD(1, 339) = ( 1 x 339 ) / 339
GCD(1, 339) = 339 / 339
GCD(1, 339) = 1
GCD of 253, 676, 435, 339 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 253, 676, 435, 339?
GCD of 253, 676, 435, 339 is 1
2. Where do I get the detailed procedure to find GCD of 253, 676, 435, 339?
You can find a detailed procedure to find GCD of 253, 676, 435, 339 on our page.
3. How to find GCD of 253, 676, 435, 339 on a calculator?
You can find the GCD of 253, 676, 435, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.