GCD of 763, 742, 33 Calculator
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 763, 742, 33 i.e. 1 largest integer that divides all the numbers equally.
GCD of 763, 742, 33 is 1
GCD(763, 742, 33) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 763, 742, 33 is 1
GCD(763, 742, 33) = 1
GCDof 763,742,33 is 1
Given Input numbers are 763, 742, 33
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Greatest Common Divisior
We found the divisors of 763, 742, 33 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 763, 742, 33 is 1.
Therefore, GCD of numbers 763, 742, 33 is 1
Given Input Data is 763, 742, 33
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 763 is 7 x 109
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 33 is 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 763, 742, 33 using LCM Formula
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(763, 742) = 80878
GCD(763, 742) = ( 763 x 742 ) / 80878
GCD(763, 742) = 566146 / 80878
GCD(763, 742) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 33) = 231
GCD(7, 33) = ( 7 x 33 ) / 231
GCD(7, 33) = 231 / 231
GCD(7, 33) = 1
GCD of 763, 742, 33 is 1
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FAQs on GCD of numbers 763, 742, 33
1. What is the GCD of 763, 742, 33?
GCD of 763, 742, 33 is 1
2. Where do I get the detailed procedure to find GCD of 763, 742, 33?
You can find a detailed procedure to find GCD of 763, 742, 33 on our page.
3. How to find GCD of 763, 742, 33 on a calculator?
You can find the GCD of 763, 742, 33 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.