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, 145, 40, 526 i.e. 1 largest integer that divides all the numbers equally.
GCD of 492, 145, 40, 526 is 1
GCD(492, 145, 40, 526) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 492, 145, 40, 526 is 1
GCD(492, 145, 40, 526) = 1
Given Input numbers are 492, 145, 40, 526
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 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 526
List of positive integer divisors of 526 that divides 526 without a remainder.
1, 2, 263, 526
Greatest Common Divisior
We found the divisors of 492, 145, 40, 526 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 145, 40, 526 is 1.
Therefore, GCD of numbers 492, 145, 40, 526 is 1
Given Input Data is 492, 145, 40, 526
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 145 is 5 x 29
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 526 is 2 x 263
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, 145) = 71340
GCD(492, 145) = ( 492 x 145 ) / 71340
GCD(492, 145) = 71340 / 71340
GCD(492, 145) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 526
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 526) = 526
GCD(1, 526) = ( 1 x 526 ) / 526
GCD(1, 526) = 526 / 526
GCD(1, 526) = 1
GCD of 492, 145, 40, 526 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 492, 145, 40, 526?
GCD of 492, 145, 40, 526 is 1
2. Where do I get the detailed procedure to find GCD of 492, 145, 40, 526?
You can find a detailed procedure to find GCD of 492, 145, 40, 526 on our page.
3. How to find GCD of 492, 145, 40, 526 on a calculator?
You can find the GCD of 492, 145, 40, 526 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.