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 30, 616, 701, 252 i.e. 1 largest integer that divides all the numbers equally.
GCD of 30, 616, 701, 252 is 1
GCD(30, 616, 701, 252) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 30, 616, 701, 252 is 1
GCD(30, 616, 701, 252) = 1
Given Input numbers are 30, 616, 701, 252
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
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
Greatest Common Divisior
We found the divisors of 30, 616, 701, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 616, 701, 252 is 1.
Therefore, GCD of numbers 30, 616, 701, 252 is 1
Given Input Data is 30, 616, 701, 252
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 701 is 701
Prime Factorization of 252 is 2 x 2 x 3 x 3 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(30, 616) = 9240
GCD(30, 616) = ( 30 x 616 ) / 9240
GCD(30, 616) = 18480 / 9240
GCD(30, 616) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 701
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 701) = 1402
GCD(2, 701) = ( 2 x 701 ) / 1402
GCD(2, 701) = 1402 / 1402
GCD(2, 701) = 1
Step3:
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
GCD of 30, 616, 701, 252 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 30, 616, 701, 252?
GCD of 30, 616, 701, 252 is 1
2. Where do I get the detailed procedure to find GCD of 30, 616, 701, 252?
You can find a detailed procedure to find GCD of 30, 616, 701, 252 on our page.
3. How to find GCD of 30, 616, 701, 252 on a calculator?
You can find the GCD of 30, 616, 701, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.