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, 953, 37, 783 i.e. 1 largest integer that divides all the numbers equally.
GCD of 492, 953, 37, 783 is 1
GCD(492, 953, 37, 783) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 492, 953, 37, 783 is 1
GCD(492, 953, 37, 783) = 1
Given Input numbers are 492, 953, 37, 783
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 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
Greatest Common Divisior
We found the divisors of 492, 953, 37, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 953, 37, 783 is 1.
Therefore, GCD of numbers 492, 953, 37, 783 is 1
Given Input Data is 492, 953, 37, 783
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 953 is 953
Prime Factorization of 37 is 37
Prime Factorization of 783 is 3 x 3 x 3 x 29
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, 953) = 468876
GCD(492, 953) = ( 492 x 953 ) / 468876
GCD(492, 953) = 468876 / 468876
GCD(492, 953) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 37) = 37
GCD(1, 37) = ( 1 x 37 ) / 37
GCD(1, 37) = 37 / 37
GCD(1, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 783
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 783) = 783
GCD(1, 783) = ( 1 x 783 ) / 783
GCD(1, 783) = 783 / 783
GCD(1, 783) = 1
GCD of 492, 953, 37, 783 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 492, 953, 37, 783?
GCD of 492, 953, 37, 783 is 1
2. Where do I get the detailed procedure to find GCD of 492, 953, 37, 783?
You can find a detailed procedure to find GCD of 492, 953, 37, 783 on our page.
3. How to find GCD of 492, 953, 37, 783 on a calculator?
You can find the GCD of 492, 953, 37, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.