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 714, 175, 66, 503 i.e. 1 largest integer that divides all the numbers equally.
GCD of 714, 175, 66, 503 is 1
GCD(714, 175, 66, 503) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 714, 175, 66, 503 is 1
GCD(714, 175, 66, 503) = 1
Given Input numbers are 714, 175, 66, 503
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Greatest Common Divisior
We found the divisors of 714, 175, 66, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 175, 66, 503 is 1.
Therefore, GCD of numbers 714, 175, 66, 503 is 1
Given Input Data is 714, 175, 66, 503
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 503 is 503
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(714, 175) = 17850
GCD(714, 175) = ( 714 x 175 ) / 17850
GCD(714, 175) = 124950 / 17850
GCD(714, 175) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 66) = 462
GCD(7, 66) = ( 7 x 66 ) / 462
GCD(7, 66) = 462 / 462
GCD(7, 66) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 503
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 503) = 503
GCD(1, 503) = ( 1 x 503 ) / 503
GCD(1, 503) = 503 / 503
GCD(1, 503) = 1
GCD of 714, 175, 66, 503 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 714, 175, 66, 503?
GCD of 714, 175, 66, 503 is 1
2. Where do I get the detailed procedure to find GCD of 714, 175, 66, 503?
You can find a detailed procedure to find GCD of 714, 175, 66, 503 on our page.
3. How to find GCD of 714, 175, 66, 503 on a calculator?
You can find the GCD of 714, 175, 66, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.