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 688, 647, 73, 940 i.e. 1 largest integer that divides all the numbers equally.
GCD of 688, 647, 73, 940 is 1
GCD(688, 647, 73, 940) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 688, 647, 73, 940 is 1
GCD(688, 647, 73, 940) = 1
Given Input numbers are 688, 647, 73, 940
To find the GCD of numbers using factoring list out all the divisors of each number
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 647
List of positive integer divisors of 647 that divides 647 without a remainder.
1, 647
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Greatest Common Divisior
We found the divisors of 688, 647, 73, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 647, 73, 940 is 1.
Therefore, GCD of numbers 688, 647, 73, 940 is 1
Given Input Data is 688, 647, 73, 940
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 647 is 647
Prime Factorization of 73 is 73
Prime Factorization of 940 is 2 x 2 x 5 x 47
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(688, 647) = 445136
GCD(688, 647) = ( 688 x 647 ) / 445136
GCD(688, 647) = 445136 / 445136
GCD(688, 647) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 73) = 73
GCD(1, 73) = ( 1 x 73 ) / 73
GCD(1, 73) = 73 / 73
GCD(1, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 940
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 940) = 940
GCD(1, 940) = ( 1 x 940 ) / 940
GCD(1, 940) = 940 / 940
GCD(1, 940) = 1
GCD of 688, 647, 73, 940 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 688, 647, 73, 940?
GCD of 688, 647, 73, 940 is 1
2. Where do I get the detailed procedure to find GCD of 688, 647, 73, 940?
You can find a detailed procedure to find GCD of 688, 647, 73, 940 on our page.
3. How to find GCD of 688, 647, 73, 940 on a calculator?
You can find the GCD of 688, 647, 73, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.