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 347, 470, 51, 588 i.e. 1 largest integer that divides all the numbers equally.
GCD of 347, 470, 51, 588 is 1
GCD(347, 470, 51, 588) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 347, 470, 51, 588 is 1
GCD(347, 470, 51, 588) = 1
Given Input numbers are 347, 470, 51, 588
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Greatest Common Divisior
We found the divisors of 347, 470, 51, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 347, 470, 51, 588 is 1.
Therefore, GCD of numbers 347, 470, 51, 588 is 1
Given Input Data is 347, 470, 51, 588
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 347 is 347
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 51 is 3 x 17
Prime Factorization of 588 is 2 x 2 x 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(347, 470) = 163090
GCD(347, 470) = ( 347 x 470 ) / 163090
GCD(347, 470) = 163090 / 163090
GCD(347, 470) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 588
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
GCD(1, 588) = 588 / 588
GCD(1, 588) = 1
GCD of 347, 470, 51, 588 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 347, 470, 51, 588?
GCD of 347, 470, 51, 588 is 1
2. Where do I get the detailed procedure to find GCD of 347, 470, 51, 588?
You can find a detailed procedure to find GCD of 347, 470, 51, 588 on our page.
3. How to find GCD of 347, 470, 51, 588 on a calculator?
You can find the GCD of 347, 470, 51, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.