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 47, 351, 734, 525 i.e. 1 largest integer that divides all the numbers equally.
GCD of 47, 351, 734, 525 is 1
GCD(47, 351, 734, 525) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 47, 351, 734, 525 is 1
GCD(47, 351, 734, 525) = 1
Given Input numbers are 47, 351, 734, 525
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 525
List of positive integer divisors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Greatest Common Divisior
We found the divisors of 47, 351, 734, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 351, 734, 525 is 1.
Therefore, GCD of numbers 47, 351, 734, 525 is 1
Given Input Data is 47, 351, 734, 525
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 47 is 47
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 734 is 2 x 367
Prime Factorization of 525 is 3 x 5 x 5 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(47, 351) = 16497
GCD(47, 351) = ( 47 x 351 ) / 16497
GCD(47, 351) = 16497 / 16497
GCD(47, 351) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 734
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 734) = 734
GCD(1, 734) = ( 1 x 734 ) / 734
GCD(1, 734) = 734 / 734
GCD(1, 734) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 525
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 525) = 525
GCD(1, 525) = ( 1 x 525 ) / 525
GCD(1, 525) = 525 / 525
GCD(1, 525) = 1
GCD of 47, 351, 734, 525 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 47, 351, 734, 525?
GCD of 47, 351, 734, 525 is 1
2. Where do I get the detailed procedure to find GCD of 47, 351, 734, 525?
You can find a detailed procedure to find GCD of 47, 351, 734, 525 on our page.
3. How to find GCD of 47, 351, 734, 525 on a calculator?
You can find the GCD of 47, 351, 734, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.