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 917, 740, 566, 700 i.e. 1 largest integer that divides all the numbers equally.
GCD of 917, 740, 566, 700 is 1
GCD(917, 740, 566, 700) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 917, 740, 566, 700 is 1
GCD(917, 740, 566, 700) = 1
Given Input numbers are 917, 740, 566, 700
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
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 566
List of positive integer divisors of 566 that divides 566 without a remainder.
1, 2, 283, 566
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Greatest Common Divisior
We found the divisors of 917, 740, 566, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 740, 566, 700 is 1.
Therefore, GCD of numbers 917, 740, 566, 700 is 1
Given Input Data is 917, 740, 566, 700
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 917 is 7 x 131
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 566 is 2 x 283
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
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(917, 740) = 678580
GCD(917, 740) = ( 917 x 740 ) / 678580
GCD(917, 740) = 678580 / 678580
GCD(917, 740) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 566
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 566) = 566
GCD(1, 566) = ( 1 x 566 ) / 566
GCD(1, 566) = 566 / 566
GCD(1, 566) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 700
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 700) = 700
GCD(1, 700) = ( 1 x 700 ) / 700
GCD(1, 700) = 700 / 700
GCD(1, 700) = 1
GCD of 917, 740, 566, 700 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 917, 740, 566, 700?
GCD of 917, 740, 566, 700 is 1
2. Where do I get the detailed procedure to find GCD of 917, 740, 566, 700?
You can find a detailed procedure to find GCD of 917, 740, 566, 700 on our page.
3. How to find GCD of 917, 740, 566, 700 on a calculator?
You can find the GCD of 917, 740, 566, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.