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 584, 562, 71, 347 i.e. 1 largest integer that divides all the numbers equally.
GCD of 584, 562, 71, 347 is 1
GCD(584, 562, 71, 347) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 584, 562, 71, 347 is 1
GCD(584, 562, 71, 347) = 1
Given Input numbers are 584, 562, 71, 347
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Greatest Common Divisior
We found the divisors of 584, 562, 71, 347 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 562, 71, 347 is 1.
Therefore, GCD of numbers 584, 562, 71, 347 is 1
Given Input Data is 584, 562, 71, 347
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 584 is 2 x 2 x 2 x 73
Prime Factorization of 562 is 2 x 281
Prime Factorization of 71 is 71
Prime Factorization of 347 is 347
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(584, 562) = 164104
GCD(584, 562) = ( 584 x 562 ) / 164104
GCD(584, 562) = 328208 / 164104
GCD(584, 562) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 71) = 142
GCD(2, 71) = ( 2 x 71 ) / 142
GCD(2, 71) = 142 / 142
GCD(2, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 347
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 347) = 347
GCD(1, 347) = ( 1 x 347 ) / 347
GCD(1, 347) = 347 / 347
GCD(1, 347) = 1
GCD of 584, 562, 71, 347 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 584, 562, 71, 347?
GCD of 584, 562, 71, 347 is 1
2. Where do I get the detailed procedure to find GCD of 584, 562, 71, 347?
You can find a detailed procedure to find GCD of 584, 562, 71, 347 on our page.
3. How to find GCD of 584, 562, 71, 347 on a calculator?
You can find the GCD of 584, 562, 71, 347 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.