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 340, 763, 71, 749 i.e. 1 largest integer that divides all the numbers equally.
GCD of 340, 763, 71, 749 is 1
GCD(340, 763, 71, 749) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 340, 763, 71, 749 is 1
GCD(340, 763, 71, 749) = 1
Given Input numbers are 340, 763, 71, 749
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Greatest Common Divisior
We found the divisors of 340, 763, 71, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 763, 71, 749 is 1.
Therefore, GCD of numbers 340, 763, 71, 749 is 1
Given Input Data is 340, 763, 71, 749
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 763 is 7 x 109
Prime Factorization of 71 is 71
Prime Factorization of 749 is 7 x 107
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(340, 763) = 259420
GCD(340, 763) = ( 340 x 763 ) / 259420
GCD(340, 763) = 259420 / 259420
GCD(340, 763) = 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 749
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 749) = 749
GCD(1, 749) = ( 1 x 749 ) / 749
GCD(1, 749) = 749 / 749
GCD(1, 749) = 1
GCD of 340, 763, 71, 749 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 340, 763, 71, 749?
GCD of 340, 763, 71, 749 is 1
2. Where do I get the detailed procedure to find GCD of 340, 763, 71, 749?
You can find a detailed procedure to find GCD of 340, 763, 71, 749 on our page.
3. How to find GCD of 340, 763, 71, 749 on a calculator?
You can find the GCD of 340, 763, 71, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.