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 897, 754, 88, 616 i.e. 1 largest integer that divides all the numbers equally.
GCD of 897, 754, 88, 616 is 1
GCD(897, 754, 88, 616) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 897, 754, 88, 616 is 1
GCD(897, 754, 88, 616) = 1
Given Input numbers are 897, 754, 88, 616
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
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 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
Greatest Common Divisior
We found the divisors of 897, 754, 88, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 754, 88, 616 is 1.
Therefore, GCD of numbers 897, 754, 88, 616 is 1
Given Input Data is 897, 754, 88, 616
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 754 is 2 x 13 x 29
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
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(897, 754) = 52026
GCD(897, 754) = ( 897 x 754 ) / 52026
GCD(897, 754) = 676338 / 52026
GCD(897, 754) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 88) = 1144
GCD(13, 88) = ( 13 x 88 ) / 1144
GCD(13, 88) = 1144 / 1144
GCD(13, 88) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 616
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 616) = 616
GCD(1, 616) = ( 1 x 616 ) / 616
GCD(1, 616) = 616 / 616
GCD(1, 616) = 1
GCD of 897, 754, 88, 616 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 897, 754, 88, 616?
GCD of 897, 754, 88, 616 is 1
2. Where do I get the detailed procedure to find GCD of 897, 754, 88, 616?
You can find a detailed procedure to find GCD of 897, 754, 88, 616 on our page.
3. How to find GCD of 897, 754, 88, 616 on a calculator?
You can find the GCD of 897, 754, 88, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.