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, 869, 290, 745 i.e. 1 largest integer that divides all the numbers equally.
GCD of 88, 869, 290, 745 is 1
GCD(88, 869, 290, 745) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 88, 869, 290, 745 is 1
GCD(88, 869, 290, 745) = 1
Given Input numbers are 88, 869, 290, 745
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 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Greatest Common Divisior
We found the divisors of 88, 869, 290, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 869, 290, 745 is 1.
Therefore, GCD of numbers 88, 869, 290, 745 is 1
Given Input Data is 88, 869, 290, 745
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 869 is 11 x 79
Prime Factorization of 290 is 2 x 5 x 29
Prime Factorization of 745 is 5 x 149
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, 869) = 6952
GCD(88, 869) = ( 88 x 869 ) / 6952
GCD(88, 869) = 76472 / 6952
GCD(88, 869) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 290
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 290) = 3190
GCD(11, 290) = ( 11 x 290 ) / 3190
GCD(11, 290) = 3190 / 3190
GCD(11, 290) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
GCD(1, 745) = 745 / 745
GCD(1, 745) = 1
GCD of 88, 869, 290, 745 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 88, 869, 290, 745?
GCD of 88, 869, 290, 745 is 1
2. Where do I get the detailed procedure to find GCD of 88, 869, 290, 745?
You can find a detailed procedure to find GCD of 88, 869, 290, 745 on our page.
3. How to find GCD of 88, 869, 290, 745 on a calculator?
You can find the GCD of 88, 869, 290, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.