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, 942, 205, 271 i.e. 1 largest integer that divides all the numbers equally.
GCD of 88, 942, 205, 271 is 1
GCD(88, 942, 205, 271) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 88, 942, 205, 271 is 1
GCD(88, 942, 205, 271) = 1
Given Input numbers are 88, 942, 205, 271
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 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
Divisors of 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Greatest Common Divisior
We found the divisors of 88, 942, 205, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 942, 205, 271 is 1.
Therefore, GCD of numbers 88, 942, 205, 271 is 1
Given Input Data is 88, 942, 205, 271
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 942 is 2 x 3 x 157
Prime Factorization of 205 is 5 x 41
Prime Factorization of 271 is 271
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, 942) = 41448
GCD(88, 942) = ( 88 x 942 ) / 41448
GCD(88, 942) = 82896 / 41448
GCD(88, 942) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 205
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 205) = 410
GCD(2, 205) = ( 2 x 205 ) / 410
GCD(2, 205) = 410 / 410
GCD(2, 205) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 271
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 271) = 271
GCD(1, 271) = ( 1 x 271 ) / 271
GCD(1, 271) = 271 / 271
GCD(1, 271) = 1
GCD of 88, 942, 205, 271 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 88, 942, 205, 271?
GCD of 88, 942, 205, 271 is 1
2. Where do I get the detailed procedure to find GCD of 88, 942, 205, 271?
You can find a detailed procedure to find GCD of 88, 942, 205, 271 on our page.
3. How to find GCD of 88, 942, 205, 271 on a calculator?
You can find the GCD of 88, 942, 205, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.