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 377, 309, 292, 716 i.e. 1 largest integer that divides all the numbers equally.
GCD of 377, 309, 292, 716 is 1
GCD(377, 309, 292, 716) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 377, 309, 292, 716 is 1
GCD(377, 309, 292, 716) = 1
Given Input numbers are 377, 309, 292, 716
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Greatest Common Divisior
We found the divisors of 377, 309, 292, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 377, 309, 292, 716 is 1.
Therefore, GCD of numbers 377, 309, 292, 716 is 1
Given Input Data is 377, 309, 292, 716
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 377 is 13 x 29
Prime Factorization of 309 is 3 x 103
Prime Factorization of 292 is 2 x 2 x 73
Prime Factorization of 716 is 2 x 2 x 179
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(377, 309) = 116493
GCD(377, 309) = ( 377 x 309 ) / 116493
GCD(377, 309) = 116493 / 116493
GCD(377, 309) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 292
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 292) = 292
GCD(1, 292) = ( 1 x 292 ) / 292
GCD(1, 292) = 292 / 292
GCD(1, 292) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 716
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 716) = 716
GCD(1, 716) = ( 1 x 716 ) / 716
GCD(1, 716) = 716 / 716
GCD(1, 716) = 1
GCD of 377, 309, 292, 716 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 377, 309, 292, 716?
GCD of 377, 309, 292, 716 is 1
2. Where do I get the detailed procedure to find GCD of 377, 309, 292, 716?
You can find a detailed procedure to find GCD of 377, 309, 292, 716 on our page.
3. How to find GCD of 377, 309, 292, 716 on a calculator?
You can find the GCD of 377, 309, 292, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.