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 926, 712, 373, 538 i.e. 1 largest integer that divides all the numbers equally.
GCD of 926, 712, 373, 538 is 1
GCD(926, 712, 373, 538) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 926, 712, 373, 538 is 1
GCD(926, 712, 373, 538) = 1
Given Input numbers are 926, 712, 373, 538
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 373
List of positive integer divisors of 373 that divides 373 without a remainder.
1, 373
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Greatest Common Divisior
We found the divisors of 926, 712, 373, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 926, 712, 373, 538 is 1.
Therefore, GCD of numbers 926, 712, 373, 538 is 1
Given Input Data is 926, 712, 373, 538
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 926 is 2 x 463
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 373 is 373
Prime Factorization of 538 is 2 x 269
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(926, 712) = 329656
GCD(926, 712) = ( 926 x 712 ) / 329656
GCD(926, 712) = 659312 / 329656
GCD(926, 712) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 373
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 373) = 746
GCD(2, 373) = ( 2 x 373 ) / 746
GCD(2, 373) = 746 / 746
GCD(2, 373) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 538
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 538) = 538
GCD(1, 538) = ( 1 x 538 ) / 538
GCD(1, 538) = 538 / 538
GCD(1, 538) = 1
GCD of 926, 712, 373, 538 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 926, 712, 373, 538?
GCD of 926, 712, 373, 538 is 1
2. Where do I get the detailed procedure to find GCD of 926, 712, 373, 538?
You can find a detailed procedure to find GCD of 926, 712, 373, 538 on our page.
3. How to find GCD of 926, 712, 373, 538 on a calculator?
You can find the GCD of 926, 712, 373, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.