GCD of 770, 742, 116 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 770, 742, 116 i.e. 2 largest integer that divides all the numbers equally.
GCD of 770, 742, 116 is 2
GCD(770, 742, 116) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 770, 742, 116 is 2
GCD(770, 742, 116) = 2
GCDof 770,742,116 is 2
Given Input numbers are 770, 742, 116
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
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 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Greatest Common Divisior
We found the divisors of 770, 742, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 742, 116 is 2.
Therefore, GCD of numbers 770, 742, 116 is 2
Given Input Data is 770, 742, 116
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 116 is 2 x 2 x 29
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 770, 742, 116 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(770, 742) = 40810
GCD(770, 742) = ( 770 x 742 ) / 40810
GCD(770, 742) = 571340 / 40810
GCD(770, 742) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 116) = 812
GCD(14, 116) = ( 14 x 116 ) / 812
GCD(14, 116) = 1624 / 812
GCD(14, 116) = 2
GCD of 770, 742, 116 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 770, 742, 116
1. What is the GCD of 770, 742, 116?
GCD of 770, 742, 116 is 2
2. Where do I get the detailed procedure to find GCD of 770, 742, 116?
You can find a detailed procedure to find GCD of 770, 742, 116 on our page.
3. How to find GCD of 770, 742, 116 on a calculator?
You can find the GCD of 770, 742, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
