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 550, 792, 91, 490 i.e. 1 largest integer that divides all the numbers equally.
GCD of 550, 792, 91, 490 is 1
GCD(550, 792, 91, 490) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 550, 792, 91, 490 is 1
GCD(550, 792, 91, 490) = 1
Given Input numbers are 550, 792, 91, 490
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Greatest Common Divisior
We found the divisors of 550, 792, 91, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 792, 91, 490 is 1.
Therefore, GCD of numbers 550, 792, 91, 490 is 1
Given Input Data is 550, 792, 91, 490
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 91 is 7 x 13
Prime Factorization of 490 is 2 x 5 x 7 x 7
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(550, 792) = 19800
GCD(550, 792) = ( 550 x 792 ) / 19800
GCD(550, 792) = 435600 / 19800
GCD(550, 792) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 91) = 2002
GCD(22, 91) = ( 22 x 91 ) / 2002
GCD(22, 91) = 2002 / 2002
GCD(22, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 490
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 490) = 490
GCD(1, 490) = ( 1 x 490 ) / 490
GCD(1, 490) = 490 / 490
GCD(1, 490) = 1
GCD of 550, 792, 91, 490 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 550, 792, 91, 490?
GCD of 550, 792, 91, 490 is 1
2. Where do I get the detailed procedure to find GCD of 550, 792, 91, 490?
You can find a detailed procedure to find GCD of 550, 792, 91, 490 on our page.
3. How to find GCD of 550, 792, 91, 490 on a calculator?
You can find the GCD of 550, 792, 91, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.