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 119, 549, 548, 703 i.e. 1 largest integer that divides all the numbers equally.
GCD of 119, 549, 548, 703 is 1
GCD(119, 549, 548, 703) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 119, 549, 548, 703 is 1
GCD(119, 549, 548, 703) = 1
Given Input numbers are 119, 549, 548, 703
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Greatest Common Divisior
We found the divisors of 119, 549, 548, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 549, 548, 703 is 1.
Therefore, GCD of numbers 119, 549, 548, 703 is 1
Given Input Data is 119, 549, 548, 703
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 119 is 7 x 17
Prime Factorization of 549 is 3 x 3 x 61
Prime Factorization of 548 is 2 x 2 x 137
Prime Factorization of 703 is 19 x 37
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(119, 549) = 65331
GCD(119, 549) = ( 119 x 549 ) / 65331
GCD(119, 549) = 65331 / 65331
GCD(119, 549) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 548
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 548) = 548
GCD(1, 548) = ( 1 x 548 ) / 548
GCD(1, 548) = 548 / 548
GCD(1, 548) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 703
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 703) = 703
GCD(1, 703) = ( 1 x 703 ) / 703
GCD(1, 703) = 703 / 703
GCD(1, 703) = 1
GCD of 119, 549, 548, 703 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 119, 549, 548, 703?
GCD of 119, 549, 548, 703 is 1
2. Where do I get the detailed procedure to find GCD of 119, 549, 548, 703?
You can find a detailed procedure to find GCD of 119, 549, 548, 703 on our page.
3. How to find GCD of 119, 549, 548, 703 on a calculator?
You can find the GCD of 119, 549, 548, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.