GCD of 960, 783, 742 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 960, 783, 742 i.e. 1 largest integer that divides all the numbers equally.
GCD of 960, 783, 742 is 1
GCD(960, 783, 742) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 960, 783, 742 is 1
GCD(960, 783, 742) = 1
GCDof 960,783,742 is 1
Given Input numbers are 960, 783, 742
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Greatest Common Divisior
We found the divisors of 960, 783, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 783, 742 is 1.
Therefore, GCD of numbers 960, 783, 742 is 1
Given Input Data is 960, 783, 742
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 783 is 3 x 3 x 3 x 29
Prime Factorization of 742 is 2 x 7 x 53
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 960, 783, 742 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(960, 783) = 250560
GCD(960, 783) = ( 960 x 783 ) / 250560
GCD(960, 783) = 751680 / 250560
GCD(960, 783) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 742) = 2226
GCD(3, 742) = ( 3 x 742 ) / 2226
GCD(3, 742) = 2226 / 2226
GCD(3, 742) = 1
GCD of 960, 783, 742 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 960, 783, 742
1. What is the GCD of 960, 783, 742?
GCD of 960, 783, 742 is 1
2. Where do I get the detailed procedure to find GCD of 960, 783, 742?
You can find a detailed procedure to find GCD of 960, 783, 742 on our page.
3. How to find GCD of 960, 783, 742 on a calculator?
You can find the GCD of 960, 783, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.