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, 917, 693, 138 i.e. 1 largest integer that divides all the numbers equally.
GCD of 498, 917, 693, 138 is 1
GCD(498, 917, 693, 138) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 498, 917, 693, 138 is 1
GCD(498, 917, 693, 138) = 1
Given Input numbers are 498, 917, 693, 138
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 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Greatest Common Divisior
We found the divisors of 498, 917, 693, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 917, 693, 138 is 1.
Therefore, GCD of numbers 498, 917, 693, 138 is 1
Given Input Data is 498, 917, 693, 138
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 917 is 7 x 131
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 138 is 2 x 3 x 23
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, 917) = 456666
GCD(498, 917) = ( 498 x 917 ) / 456666
GCD(498, 917) = 456666 / 456666
GCD(498, 917) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 693
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 693) = 693
GCD(1, 693) = ( 1 x 693 ) / 693
GCD(1, 693) = 693 / 693
GCD(1, 693) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 138
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
GCD(1, 138) = 138 / 138
GCD(1, 138) = 1
GCD of 498, 917, 693, 138 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 498, 917, 693, 138?
GCD of 498, 917, 693, 138 is 1
2. Where do I get the detailed procedure to find GCD of 498, 917, 693, 138?
You can find a detailed procedure to find GCD of 498, 917, 693, 138 on our page.
3. How to find GCD of 498, 917, 693, 138 on a calculator?
You can find the GCD of 498, 917, 693, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.