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 740, 220, 91, 569 i.e. 1 largest integer that divides all the numbers equally.
GCD of 740, 220, 91, 569 is 1
GCD(740, 220, 91, 569) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 740, 220, 91, 569 is 1
GCD(740, 220, 91, 569) = 1
Given Input numbers are 740, 220, 91, 569
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
Greatest Common Divisior
We found the divisors of 740, 220, 91, 569 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 220, 91, 569 is 1.
Therefore, GCD of numbers 740, 220, 91, 569 is 1
Given Input Data is 740, 220, 91, 569
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 91 is 7 x 13
Prime Factorization of 569 is 569
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(740, 220) = 8140
GCD(740, 220) = ( 740 x 220 ) / 8140
GCD(740, 220) = 162800 / 8140
GCD(740, 220) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 91) = 1820
GCD(20, 91) = ( 20 x 91 ) / 1820
GCD(20, 91) = 1820 / 1820
GCD(20, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 569
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 569) = 569
GCD(1, 569) = ( 1 x 569 ) / 569
GCD(1, 569) = 569 / 569
GCD(1, 569) = 1
GCD of 740, 220, 91, 569 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 740, 220, 91, 569?
GCD of 740, 220, 91, 569 is 1
2. Where do I get the detailed procedure to find GCD of 740, 220, 91, 569?
You can find a detailed procedure to find GCD of 740, 220, 91, 569 on our page.
3. How to find GCD of 740, 220, 91, 569 on a calculator?
You can find the GCD of 740, 220, 91, 569 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.