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 358, 711, 71, 676 i.e. 1 largest integer that divides all the numbers equally.
GCD of 358, 711, 71, 676 is 1
GCD(358, 711, 71, 676) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 358, 711, 71, 676 is 1
GCD(358, 711, 71, 676) = 1
Given Input numbers are 358, 711, 71, 676
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
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
Greatest Common Divisior
We found the divisors of 358, 711, 71, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 711, 71, 676 is 1.
Therefore, GCD of numbers 358, 711, 71, 676 is 1
Given Input Data is 358, 711, 71, 676
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 358 is 2 x 179
Prime Factorization of 711 is 3 x 3 x 79
Prime Factorization of 71 is 71
Prime Factorization of 676 is 2 x 2 x 13 x 13
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(358, 711) = 254538
GCD(358, 711) = ( 358 x 711 ) / 254538
GCD(358, 711) = 254538 / 254538
GCD(358, 711) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 676) = 676
GCD(1, 676) = ( 1 x 676 ) / 676
GCD(1, 676) = 676 / 676
GCD(1, 676) = 1
GCD of 358, 711, 71, 676 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 358, 711, 71, 676?
GCD of 358, 711, 71, 676 is 1
2. Where do I get the detailed procedure to find GCD of 358, 711, 71, 676?
You can find a detailed procedure to find GCD of 358, 711, 71, 676 on our page.
3. How to find GCD of 358, 711, 71, 676 on a calculator?
You can find the GCD of 358, 711, 71, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.