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 71, 730, 252, 562 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 730, 252, 562 is 1
GCD(71, 730, 252, 562) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 730, 252, 562 is 1
GCD(71, 730, 252, 562) = 1
Given Input numbers are 71, 730, 252, 562
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
Greatest Common Divisior
We found the divisors of 71, 730, 252, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 730, 252, 562 is 1.
Therefore, GCD of numbers 71, 730, 252, 562 is 1
Given Input Data is 71, 730, 252, 562
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 562 is 2 x 281
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(71, 730) = 51830
GCD(71, 730) = ( 71 x 730 ) / 51830
GCD(71, 730) = 51830 / 51830
GCD(71, 730) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 252
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 252) = 252
GCD(1, 252) = ( 1 x 252 ) / 252
GCD(1, 252) = 252 / 252
GCD(1, 252) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 562
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 562) = 562
GCD(1, 562) = ( 1 x 562 ) / 562
GCD(1, 562) = 562 / 562
GCD(1, 562) = 1
GCD of 71, 730, 252, 562 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 730, 252, 562?
GCD of 71, 730, 252, 562 is 1
2. Where do I get the detailed procedure to find GCD of 71, 730, 252, 562?
You can find a detailed procedure to find GCD of 71, 730, 252, 562 on our page.
3. How to find GCD of 71, 730, 252, 562 on a calculator?
You can find the GCD of 71, 730, 252, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.