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 737, 280, 931, 998 i.e. 1 largest integer that divides all the numbers equally.
GCD of 737, 280, 931, 998 is 1
GCD(737, 280, 931, 998) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 737, 280, 931, 998 is 1
GCD(737, 280, 931, 998) = 1
Given Input numbers are 737, 280, 931, 998
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
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 737, 280, 931, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 737, 280, 931, 998 is 1.
Therefore, GCD of numbers 737, 280, 931, 998 is 1
Given Input Data is 737, 280, 931, 998
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 737 is 11 x 67
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 931 is 7 x 7 x 19
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(737, 280) = 206360
GCD(737, 280) = ( 737 x 280 ) / 206360
GCD(737, 280) = 206360 / 206360
GCD(737, 280) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 931
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 931) = 931
GCD(1, 931) = ( 1 x 931 ) / 931
GCD(1, 931) = 931 / 931
GCD(1, 931) = 1
Step3:
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 737, 280, 931, 998 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 737, 280, 931, 998?
GCD of 737, 280, 931, 998 is 1
2. Where do I get the detailed procedure to find GCD of 737, 280, 931, 998?
You can find a detailed procedure to find GCD of 737, 280, 931, 998 on our page.
3. How to find GCD of 737, 280, 931, 998 on a calculator?
You can find the GCD of 737, 280, 931, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.