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 548, 713, 70, 508 i.e. 1 largest integer that divides all the numbers equally.
GCD of 548, 713, 70, 508 is 1
GCD(548, 713, 70, 508) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 548, 713, 70, 508 is 1
GCD(548, 713, 70, 508) = 1
Given Input numbers are 548, 713, 70, 508
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Greatest Common Divisior
We found the divisors of 548, 713, 70, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 713, 70, 508 is 1.
Therefore, GCD of numbers 548, 713, 70, 508 is 1
Given Input Data is 548, 713, 70, 508
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 548 is 2 x 2 x 137
Prime Factorization of 713 is 23 x 31
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 508 is 2 x 2 x 127
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(548, 713) = 390724
GCD(548, 713) = ( 548 x 713 ) / 390724
GCD(548, 713) = 390724 / 390724
GCD(548, 713) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 70) = 70
GCD(1, 70) = ( 1 x 70 ) / 70
GCD(1, 70) = 70 / 70
GCD(1, 70) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 508
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 508) = 508
GCD(1, 508) = ( 1 x 508 ) / 508
GCD(1, 508) = 508 / 508
GCD(1, 508) = 1
GCD of 548, 713, 70, 508 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 548, 713, 70, 508?
GCD of 548, 713, 70, 508 is 1
2. Where do I get the detailed procedure to find GCD of 548, 713, 70, 508?
You can find a detailed procedure to find GCD of 548, 713, 70, 508 on our page.
3. How to find GCD of 548, 713, 70, 508 on a calculator?
You can find the GCD of 548, 713, 70, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.