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 770, 198, 54, 549 i.e. 1 largest integer that divides all the numbers equally.
GCD of 770, 198, 54, 549 is 1
GCD(770, 198, 54, 549) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 770, 198, 54, 549 is 1
GCD(770, 198, 54, 549) = 1
Given Input numbers are 770, 198, 54, 549
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Greatest Common Divisior
We found the divisors of 770, 198, 54, 549 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 198, 54, 549 is 1.
Therefore, GCD of numbers 770, 198, 54, 549 is 1
Given Input Data is 770, 198, 54, 549
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 549 is 3 x 3 x 61
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(770, 198) = 6930
GCD(770, 198) = ( 770 x 198 ) / 6930
GCD(770, 198) = 152460 / 6930
GCD(770, 198) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 54) = 594
GCD(22, 54) = ( 22 x 54 ) / 594
GCD(22, 54) = 1188 / 594
GCD(22, 54) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 549
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 549) = 1098
GCD(2, 549) = ( 2 x 549 ) / 1098
GCD(2, 549) = 1098 / 1098
GCD(2, 549) = 1
GCD of 770, 198, 54, 549 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 770, 198, 54, 549?
GCD of 770, 198, 54, 549 is 1
2. Where do I get the detailed procedure to find GCD of 770, 198, 54, 549?
You can find a detailed procedure to find GCD of 770, 198, 54, 549 on our page.
3. How to find GCD of 770, 198, 54, 549 on a calculator?
You can find the GCD of 770, 198, 54, 549 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.