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 147, 534, 49, 584 i.e. 1 largest integer that divides all the numbers equally.
GCD of 147, 534, 49, 584 is 1
GCD(147, 534, 49, 584) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 147, 534, 49, 584 is 1
GCD(147, 534, 49, 584) = 1
Given Input numbers are 147, 534, 49, 584
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Greatest Common Divisior
We found the divisors of 147, 534, 49, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 534, 49, 584 is 1.
Therefore, GCD of numbers 147, 534, 49, 584 is 1
Given Input Data is 147, 534, 49, 584
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 534 is 2 x 3 x 89
Prime Factorization of 49 is 7 x 7
Prime Factorization of 584 is 2 x 2 x 2 x 73
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(147, 534) = 26166
GCD(147, 534) = ( 147 x 534 ) / 26166
GCD(147, 534) = 78498 / 26166
GCD(147, 534) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 49) = 147
GCD(3, 49) = ( 3 x 49 ) / 147
GCD(3, 49) = 147 / 147
GCD(3, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 584
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 584) = 584
GCD(1, 584) = ( 1 x 584 ) / 584
GCD(1, 584) = 584 / 584
GCD(1, 584) = 1
GCD of 147, 534, 49, 584 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 147, 534, 49, 584?
GCD of 147, 534, 49, 584 is 1
2. Where do I get the detailed procedure to find GCD of 147, 534, 49, 584?
You can find a detailed procedure to find GCD of 147, 534, 49, 584 on our page.
3. How to find GCD of 147, 534, 49, 584 on a calculator?
You can find the GCD of 147, 534, 49, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.