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 768, 721, 34, 125 i.e. 1 largest integer that divides all the numbers equally.
GCD of 768, 721, 34, 125 is 1
GCD(768, 721, 34, 125) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 768, 721, 34, 125 is 1
GCD(768, 721, 34, 125) = 1
Given Input numbers are 768, 721, 34, 125
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Greatest Common Divisior
We found the divisors of 768, 721, 34, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 721, 34, 125 is 1.
Therefore, GCD of numbers 768, 721, 34, 125 is 1
Given Input Data is 768, 721, 34, 125
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 721 is 7 x 103
Prime Factorization of 34 is 2 x 17
Prime Factorization of 125 is 5 x 5 x 5
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(768, 721) = 553728
GCD(768, 721) = ( 768 x 721 ) / 553728
GCD(768, 721) = 553728 / 553728
GCD(768, 721) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 34) = 34
GCD(1, 34) = ( 1 x 34 ) / 34
GCD(1, 34) = 34 / 34
GCD(1, 34) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 125) = 125
GCD(1, 125) = ( 1 x 125 ) / 125
GCD(1, 125) = 125 / 125
GCD(1, 125) = 1
GCD of 768, 721, 34, 125 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 768, 721, 34, 125?
GCD of 768, 721, 34, 125 is 1
2. Where do I get the detailed procedure to find GCD of 768, 721, 34, 125?
You can find a detailed procedure to find GCD of 768, 721, 34, 125 on our page.
3. How to find GCD of 768, 721, 34, 125 on a calculator?
You can find the GCD of 768, 721, 34, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.