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 707, 103, 11, 584 i.e. 1 largest integer that divides all the numbers equally.
GCD of 707, 103, 11, 584 is 1
GCD(707, 103, 11, 584) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 707, 103, 11, 584 is 1
GCD(707, 103, 11, 584) = 1
Given Input numbers are 707, 103, 11, 584
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Greatest Common Divisior
We found the divisors of 707, 103, 11, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 103, 11, 584 is 1.
Therefore, GCD of numbers 707, 103, 11, 584 is 1
Given Input Data is 707, 103, 11, 584
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 707 is 7 x 101
Prime Factorization of 103 is 103
Prime Factorization of 11 is 11
Prime Factorization of 584 is 2 x 2 x 2 x 73
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(707, 103) = 72821
GCD(707, 103) = ( 707 x 103 ) / 72821
GCD(707, 103) = 72821 / 72821
GCD(707, 103) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 11) = 11
GCD(1, 11) = ( 1 x 11 ) / 11
GCD(1, 11) = 11 / 11
GCD(1, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 584
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 584) = 584
GCD(1, 584) = ( 1 x 584 ) / 584
GCD(1, 584) = 584 / 584
GCD(1, 584) = 1
GCD of 707, 103, 11, 584 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 707, 103, 11, 584?
GCD of 707, 103, 11, 584 is 1
2. Where do I get the detailed procedure to find GCD of 707, 103, 11, 584?
You can find a detailed procedure to find GCD of 707, 103, 11, 584 on our page.
3. How to find GCD of 707, 103, 11, 584 on a calculator?
You can find the GCD of 707, 103, 11, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.