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 88, 240, 570, 382 i.e. 2 largest integer that divides all the numbers equally.
GCD of 88, 240, 570, 382 is 2
GCD(88, 240, 570, 382) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 88, 240, 570, 382 is 2
GCD(88, 240, 570, 382) = 2
Given Input numbers are 88, 240, 570, 382
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 570
List of positive integer divisors of 570 that divides 570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Greatest Common Divisior
We found the divisors of 88, 240, 570, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 240, 570, 382 is 2.
Therefore, GCD of numbers 88, 240, 570, 382 is 2
Given Input Data is 88, 240, 570, 382
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 570 is 2 x 3 x 5 x 19
Prime Factorization of 382 is 2 x 191
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(88, 240) = 2640
GCD(88, 240) = ( 88 x 240 ) / 2640
GCD(88, 240) = 21120 / 2640
GCD(88, 240) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 570
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 570) = 2280
GCD(8, 570) = ( 8 x 570 ) / 2280
GCD(8, 570) = 4560 / 2280
GCD(8, 570) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 382) = 382
GCD(2, 382) = ( 2 x 382 ) / 382
GCD(2, 382) = 764 / 382
GCD(2, 382) = 2
GCD of 88, 240, 570, 382 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 88, 240, 570, 382?
GCD of 88, 240, 570, 382 is 2
2. Where do I get the detailed procedure to find GCD of 88, 240, 570, 382?
You can find a detailed procedure to find GCD of 88, 240, 570, 382 on our page.
3. How to find GCD of 88, 240, 570, 382 on a calculator?
You can find the GCD of 88, 240, 570, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.