GCD of 741, 718, 99 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 741, 718, 99 i.e. 1 largest integer that divides all the numbers equally.
GCD of 741, 718, 99 is 1
GCD(741, 718, 99) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 741, 718, 99 is 1
GCD(741, 718, 99) = 1
GCDof 741,718,99 is 1
Given Input numbers are 741, 718, 99
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Greatest Common Divisior
We found the divisors of 741, 718, 99 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 718, 99 is 1.
Therefore, GCD of numbers 741, 718, 99 is 1
Given Input Data is 741, 718, 99
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 741 is 3 x 13 x 19
Prime Factorization of 718 is 2 x 359
Prime Factorization of 99 is 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 741, 718, 99 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(741, 718) = 532038
GCD(741, 718) = ( 741 x 718 ) / 532038
GCD(741, 718) = 532038 / 532038
GCD(741, 718) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
GCD of 741, 718, 99 is 1
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FAQs on GCD of numbers 741, 718, 99
1. What is the GCD of 741, 718, 99?
GCD of 741, 718, 99 is 1
2. Where do I get the detailed procedure to find GCD of 741, 718, 99?
You can find a detailed procedure to find GCD of 741, 718, 99 on our page.
3. How to find GCD of 741, 718, 99 on a calculator?
You can find the GCD of 741, 718, 99 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.