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 764, 340, 12, 337 i.e. 1 largest integer that divides all the numbers equally.
GCD of 764, 340, 12, 337 is 1
GCD(764, 340, 12, 337) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 764, 340, 12, 337 is 1
GCD(764, 340, 12, 337) = 1
Given Input numbers are 764, 340, 12, 337
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
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 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Greatest Common Divisior
We found the divisors of 764, 340, 12, 337 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 340, 12, 337 is 1.
Therefore, GCD of numbers 764, 340, 12, 337 is 1
Given Input Data is 764, 340, 12, 337
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 337 is 337
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(764, 340) = 64940
GCD(764, 340) = ( 764 x 340 ) / 64940
GCD(764, 340) = 259760 / 64940
GCD(764, 340) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 12) = 12
GCD(4, 12) = ( 4 x 12 ) / 12
GCD(4, 12) = 48 / 12
GCD(4, 12) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 337
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 337) = 1348
GCD(4, 337) = ( 4 x 337 ) / 1348
GCD(4, 337) = 1348 / 1348
GCD(4, 337) = 1
GCD of 764, 340, 12, 337 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 764, 340, 12, 337?
GCD of 764, 340, 12, 337 is 1
2. Where do I get the detailed procedure to find GCD of 764, 340, 12, 337?
You can find a detailed procedure to find GCD of 764, 340, 12, 337 on our page.
3. How to find GCD of 764, 340, 12, 337 on a calculator?
You can find the GCD of 764, 340, 12, 337 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.