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 90, 886, 770, 741 i.e. 1 largest integer that divides all the numbers equally.
GCD of 90, 886, 770, 741 is 1
GCD(90, 886, 770, 741) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 90, 886, 770, 741 is 1
GCD(90, 886, 770, 741) = 1
Given Input numbers are 90, 886, 770, 741
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 886
List of positive integer divisors of 886 that divides 886 without a remainder.
1, 2, 443, 886
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Greatest Common Divisior
We found the divisors of 90, 886, 770, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 886, 770, 741 is 1.
Therefore, GCD of numbers 90, 886, 770, 741 is 1
Given Input Data is 90, 886, 770, 741
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 886 is 2 x 443
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 741 is 3 x 13 x 19
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(90, 886) = 39870
GCD(90, 886) = ( 90 x 886 ) / 39870
GCD(90, 886) = 79740 / 39870
GCD(90, 886) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 770
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 770) = 770
GCD(2, 770) = ( 2 x 770 ) / 770
GCD(2, 770) = 1540 / 770
GCD(2, 770) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 741
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 741) = 1482
GCD(2, 741) = ( 2 x 741 ) / 1482
GCD(2, 741) = 1482 / 1482
GCD(2, 741) = 1
GCD of 90, 886, 770, 741 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 90, 886, 770, 741?
GCD of 90, 886, 770, 741 is 1
2. Where do I get the detailed procedure to find GCD of 90, 886, 770, 741?
You can find a detailed procedure to find GCD of 90, 886, 770, 741 on our page.
3. How to find GCD of 90, 886, 770, 741 on a calculator?
You can find the GCD of 90, 886, 770, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.