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 71, 688, 263, 548 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 688, 263, 548 is 1
GCD(71, 688, 263, 548) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 688, 263, 548 is 1
GCD(71, 688, 263, 548) = 1
Given Input numbers are 71, 688, 263, 548
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Greatest Common Divisior
We found the divisors of 71, 688, 263, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 688, 263, 548 is 1.
Therefore, GCD of numbers 71, 688, 263, 548 is 1
Given Input Data is 71, 688, 263, 548
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 263 is 263
Prime Factorization of 548 is 2 x 2 x 137
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(71, 688) = 48848
GCD(71, 688) = ( 71 x 688 ) / 48848
GCD(71, 688) = 48848 / 48848
GCD(71, 688) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 263
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 263) = 263
GCD(1, 263) = ( 1 x 263 ) / 263
GCD(1, 263) = 263 / 263
GCD(1, 263) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 548
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 548) = 548
GCD(1, 548) = ( 1 x 548 ) / 548
GCD(1, 548) = 548 / 548
GCD(1, 548) = 1
GCD of 71, 688, 263, 548 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 688, 263, 548?
GCD of 71, 688, 263, 548 is 1
2. Where do I get the detailed procedure to find GCD of 71, 688, 263, 548?
You can find a detailed procedure to find GCD of 71, 688, 263, 548 on our page.
3. How to find GCD of 71, 688, 263, 548 on a calculator?
You can find the GCD of 71, 688, 263, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.