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 743, 763, 32, 695 i.e. 1 largest integer that divides all the numbers equally.
GCD of 743, 763, 32, 695 is 1
GCD(743, 763, 32, 695) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 743, 763, 32, 695 is 1
GCD(743, 763, 32, 695) = 1
Given Input numbers are 743, 763, 32, 695
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Greatest Common Divisior
We found the divisors of 743, 763, 32, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 763, 32, 695 is 1.
Therefore, GCD of numbers 743, 763, 32, 695 is 1
Given Input Data is 743, 763, 32, 695
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 743 is 743
Prime Factorization of 763 is 7 x 109
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 695 is 5 x 139
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(743, 763) = 566909
GCD(743, 763) = ( 743 x 763 ) / 566909
GCD(743, 763) = 566909 / 566909
GCD(743, 763) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 32) = 32
GCD(1, 32) = ( 1 x 32 ) / 32
GCD(1, 32) = 32 / 32
GCD(1, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 695
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 695) = 695
GCD(1, 695) = ( 1 x 695 ) / 695
GCD(1, 695) = 695 / 695
GCD(1, 695) = 1
GCD of 743, 763, 32, 695 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 743, 763, 32, 695?
GCD of 743, 763, 32, 695 is 1
2. Where do I get the detailed procedure to find GCD of 743, 763, 32, 695?
You can find a detailed procedure to find GCD of 743, 763, 32, 695 on our page.
3. How to find GCD of 743, 763, 32, 695 on a calculator?
You can find the GCD of 743, 763, 32, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.