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 747, 573, 83, 707 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 573, 83, 707 is 1
GCD(747, 573, 83, 707) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 573, 83, 707 is 1
GCD(747, 573, 83, 707) = 1
Given Input numbers are 747, 573, 83, 707
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Greatest Common Divisior
We found the divisors of 747, 573, 83, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 573, 83, 707 is 1.
Therefore, GCD of numbers 747, 573, 83, 707 is 1
Given Input Data is 747, 573, 83, 707
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 573 is 3 x 191
Prime Factorization of 83 is 83
Prime Factorization of 707 is 7 x 101
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(747, 573) = 142677
GCD(747, 573) = ( 747 x 573 ) / 142677
GCD(747, 573) = 428031 / 142677
GCD(747, 573) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 83) = 249
GCD(3, 83) = ( 3 x 83 ) / 249
GCD(3, 83) = 249 / 249
GCD(3, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
GCD(1, 707) = 707 / 707
GCD(1, 707) = 1
GCD of 747, 573, 83, 707 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 573, 83, 707?
GCD of 747, 573, 83, 707 is 1
2. Where do I get the detailed procedure to find GCD of 747, 573, 83, 707?
You can find a detailed procedure to find GCD of 747, 573, 83, 707 on our page.
3. How to find GCD of 747, 573, 83, 707 on a calculator?
You can find the GCD of 747, 573, 83, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.