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 492, 436, 94, 731 i.e. 1 largest integer that divides all the numbers equally.
GCD of 492, 436, 94, 731 is 1
GCD(492, 436, 94, 731) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 492, 436, 94, 731 is 1
GCD(492, 436, 94, 731) = 1
Given Input numbers are 492, 436, 94, 731
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 94
List of positive integer divisors of 94 that divides 94 without a remainder.
1, 2, 47, 94
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Greatest Common Divisior
We found the divisors of 492, 436, 94, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 436, 94, 731 is 1.
Therefore, GCD of numbers 492, 436, 94, 731 is 1
Given Input Data is 492, 436, 94, 731
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 492 is 2 x 2 x 3 x 41
Prime Factorization of 436 is 2 x 2 x 109
Prime Factorization of 94 is 2 x 47
Prime Factorization of 731 is 17 x 43
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(492, 436) = 53628
GCD(492, 436) = ( 492 x 436 ) / 53628
GCD(492, 436) = 214512 / 53628
GCD(492, 436) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 94
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 94) = 188
GCD(4, 94) = ( 4 x 94 ) / 188
GCD(4, 94) = 376 / 188
GCD(4, 94) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 731) = 1462
GCD(2, 731) = ( 2 x 731 ) / 1462
GCD(2, 731) = 1462 / 1462
GCD(2, 731) = 1
GCD of 492, 436, 94, 731 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 492, 436, 94, 731?
GCD of 492, 436, 94, 731 is 1
2. Where do I get the detailed procedure to find GCD of 492, 436, 94, 731?
You can find a detailed procedure to find GCD of 492, 436, 94, 731 on our page.
3. How to find GCD of 492, 436, 94, 731 on a calculator?
You can find the GCD of 492, 436, 94, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.