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 26, 688, 995, 140 i.e. 1 largest integer that divides all the numbers equally.
GCD of 26, 688, 995, 140 is 1
GCD(26, 688, 995, 140) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 26, 688, 995, 140 is 1
GCD(26, 688, 995, 140) = 1
Given Input numbers are 26, 688, 995, 140
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
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 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Greatest Common Divisior
We found the divisors of 26, 688, 995, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 688, 995, 140 is 1.
Therefore, GCD of numbers 26, 688, 995, 140 is 1
Given Input Data is 26, 688, 995, 140
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 26 is 2 x 13
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 995 is 5 x 199
Prime Factorization of 140 is 2 x 2 x 5 x 7
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(26, 688) = 8944
GCD(26, 688) = ( 26 x 688 ) / 8944
GCD(26, 688) = 17888 / 8944
GCD(26, 688) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 995
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 995) = 1990
GCD(2, 995) = ( 2 x 995 ) / 1990
GCD(2, 995) = 1990 / 1990
GCD(2, 995) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 140
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
GCD(1, 140) = 140 / 140
GCD(1, 140) = 1
GCD of 26, 688, 995, 140 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 26, 688, 995, 140?
GCD of 26, 688, 995, 140 is 1
2. Where do I get the detailed procedure to find GCD of 26, 688, 995, 140?
You can find a detailed procedure to find GCD of 26, 688, 995, 140 on our page.
3. How to find GCD of 26, 688, 995, 140 on a calculator?
You can find the GCD of 26, 688, 995, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.