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 553, 484, 61, 147 i.e. 1 largest integer that divides all the numbers equally.
GCD of 553, 484, 61, 147 is 1
GCD(553, 484, 61, 147) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 553, 484, 61, 147 is 1
GCD(553, 484, 61, 147) = 1
Given Input numbers are 553, 484, 61, 147
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Greatest Common Divisior
We found the divisors of 553, 484, 61, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 484, 61, 147 is 1.
Therefore, GCD of numbers 553, 484, 61, 147 is 1
Given Input Data is 553, 484, 61, 147
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 553 is 7 x 79
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 61 is 61
Prime Factorization of 147 is 3 x 7 x 7
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(553, 484) = 267652
GCD(553, 484) = ( 553 x 484 ) / 267652
GCD(553, 484) = 267652 / 267652
GCD(553, 484) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 147
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 147) = 147
GCD(1, 147) = ( 1 x 147 ) / 147
GCD(1, 147) = 147 / 147
GCD(1, 147) = 1
GCD of 553, 484, 61, 147 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 553, 484, 61, 147?
GCD of 553, 484, 61, 147 is 1
2. Where do I get the detailed procedure to find GCD of 553, 484, 61, 147?
You can find a detailed procedure to find GCD of 553, 484, 61, 147 on our page.
3. How to find GCD of 553, 484, 61, 147 on a calculator?
You can find the GCD of 553, 484, 61, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.