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, 936, 842, 221 i.e. 1 largest integer that divides all the numbers equally.
GCD of 88, 936, 842, 221 is 1
GCD(88, 936, 842, 221) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 88, 936, 842, 221 is 1
GCD(88, 936, 842, 221) = 1
Given Input numbers are 88, 936, 842, 221
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 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Greatest Common Divisior
We found the divisors of 88, 936, 842, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 936, 842, 221 is 1.
Therefore, GCD of numbers 88, 936, 842, 221 is 1
Given Input Data is 88, 936, 842, 221
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 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 842 is 2 x 421
Prime Factorization of 221 is 13 x 17
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(88, 936) = 10296
GCD(88, 936) = ( 88 x 936 ) / 10296
GCD(88, 936) = 82368 / 10296
GCD(88, 936) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 842
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 842) = 3368
GCD(8, 842) = ( 8 x 842 ) / 3368
GCD(8, 842) = 6736 / 3368
GCD(8, 842) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 221) = 442
GCD(2, 221) = ( 2 x 221 ) / 442
GCD(2, 221) = 442 / 442
GCD(2, 221) = 1
GCD of 88, 936, 842, 221 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 88, 936, 842, 221?
GCD of 88, 936, 842, 221 is 1
2. Where do I get the detailed procedure to find GCD of 88, 936, 842, 221?
You can find a detailed procedure to find GCD of 88, 936, 842, 221 on our page.
3. How to find GCD of 88, 936, 842, 221 on a calculator?
You can find the GCD of 88, 936, 842, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.