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 757, 478, 998 i.e. 1 largest integer that divides all the numbers equally.
GCD of 757, 478, 998 is 1
GCD(757, 478, 998) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 757, 478, 998 is 1
GCD(757, 478, 998) = 1
Given Input numbers are 757, 478, 998
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Greatest Common Divisior
We found the divisors of 757, 478, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 757, 478, 998 is 1.
Therefore, GCD of numbers 757, 478, 998 is 1
Given Input Data is 757, 478, 998
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 757 is 757
Prime Factorization of 478 is 2 x 239
Prime Factorization of 998 is 2 x 499
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(757, 478) = 361846
GCD(757, 478) = ( 757 x 478 ) / 361846
GCD(757, 478) = 361846 / 361846
GCD(757, 478) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 998
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
GCD(1, 998) = 998 / 998
GCD(1, 998) = 1
GCD of 757, 478, 998 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 757, 478, 998?
GCD of 757, 478, 998 is 1
2. Where do I get the detailed procedure to find GCD of 757, 478, 998?
You can find a detailed procedure to find GCD of 757, 478, 998 on our page.
3. How to find GCD of 757, 478, 998 on a calculator?
You can find the GCD of 757, 478, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.