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 498, 692, 101, 788 i.e. 1 largest integer that divides all the numbers equally.
GCD of 498, 692, 101, 788 is 1
GCD(498, 692, 101, 788) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 498, 692, 101, 788 is 1
GCD(498, 692, 101, 788) = 1
Given Input numbers are 498, 692, 101, 788
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Greatest Common Divisior
We found the divisors of 498, 692, 101, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 692, 101, 788 is 1.
Therefore, GCD of numbers 498, 692, 101, 788 is 1
Given Input Data is 498, 692, 101, 788
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 498 is 2 x 3 x 83
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 101 is 101
Prime Factorization of 788 is 2 x 2 x 197
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(498, 692) = 172308
GCD(498, 692) = ( 498 x 692 ) / 172308
GCD(498, 692) = 344616 / 172308
GCD(498, 692) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 101
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 101) = 202
GCD(2, 101) = ( 2 x 101 ) / 202
GCD(2, 101) = 202 / 202
GCD(2, 101) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 788
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 788) = 788
GCD(1, 788) = ( 1 x 788 ) / 788
GCD(1, 788) = 788 / 788
GCD(1, 788) = 1
GCD of 498, 692, 101, 788 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 498, 692, 101, 788?
GCD of 498, 692, 101, 788 is 1
2. Where do I get the detailed procedure to find GCD of 498, 692, 101, 788?
You can find a detailed procedure to find GCD of 498, 692, 101, 788 on our page.
3. How to find GCD of 498, 692, 101, 788 on a calculator?
You can find the GCD of 498, 692, 101, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.