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 888, 957, 749, 424 i.e. 1 largest integer that divides all the numbers equally.
GCD of 888, 957, 749, 424 is 1
GCD(888, 957, 749, 424) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 888, 957, 749, 424 is 1
GCD(888, 957, 749, 424) = 1
Given Input numbers are 888, 957, 749, 424
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Greatest Common Divisior
We found the divisors of 888, 957, 749, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 888, 957, 749, 424 is 1.
Therefore, GCD of numbers 888, 957, 749, 424 is 1
Given Input Data is 888, 957, 749, 424
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 749 is 7 x 107
Prime Factorization of 424 is 2 x 2 x 2 x 53
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(888, 957) = 283272
GCD(888, 957) = ( 888 x 957 ) / 283272
GCD(888, 957) = 849816 / 283272
GCD(888, 957) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 749
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 749) = 2247
GCD(3, 749) = ( 3 x 749 ) / 2247
GCD(3, 749) = 2247 / 2247
GCD(3, 749) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 424
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 424) = 424
GCD(1, 424) = ( 1 x 424 ) / 424
GCD(1, 424) = 424 / 424
GCD(1, 424) = 1
GCD of 888, 957, 749, 424 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 888, 957, 749, 424?
GCD of 888, 957, 749, 424 is 1
2. Where do I get the detailed procedure to find GCD of 888, 957, 749, 424?
You can find a detailed procedure to find GCD of 888, 957, 749, 424 on our page.
3. How to find GCD of 888, 957, 749, 424 on a calculator?
You can find the GCD of 888, 957, 749, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.