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 343, 771, 436, 772 i.e. 1 largest integer that divides all the numbers equally.
GCD of 343, 771, 436, 772 is 1
GCD(343, 771, 436, 772) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 343, 771, 436, 772 is 1
GCD(343, 771, 436, 772) = 1
Given Input numbers are 343, 771, 436, 772
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Greatest Common Divisior
We found the divisors of 343, 771, 436, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 771, 436, 772 is 1.
Therefore, GCD of numbers 343, 771, 436, 772 is 1
Given Input Data is 343, 771, 436, 772
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 343 is 7 x 7 x 7
Prime Factorization of 771 is 3 x 257
Prime Factorization of 436 is 2 x 2 x 109
Prime Factorization of 772 is 2 x 2 x 193
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(343, 771) = 264453
GCD(343, 771) = ( 343 x 771 ) / 264453
GCD(343, 771) = 264453 / 264453
GCD(343, 771) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 436
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 436) = 436
GCD(1, 436) = ( 1 x 436 ) / 436
GCD(1, 436) = 436 / 436
GCD(1, 436) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
GCD(1, 772) = 772 / 772
GCD(1, 772) = 1
GCD of 343, 771, 436, 772 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 343, 771, 436, 772?
GCD of 343, 771, 436, 772 is 1
2. Where do I get the detailed procedure to find GCD of 343, 771, 436, 772?
You can find a detailed procedure to find GCD of 343, 771, 436, 772 on our page.
3. How to find GCD of 343, 771, 436, 772 on a calculator?
You can find the GCD of 343, 771, 436, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.