GCD of 618, 966, 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 618, 966, 99 i.e. 3 largest integer that divides all the numbers equally.
GCD of 618, 966, 99 is 3
GCD(618, 966, 99) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 618, 966, 99 is 3
GCD(618, 966, 99) = 3
GCDof 618,966,99 is 3
Given Input numbers are 618, 966, 99
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
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 618, 966, 99 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 618, 966, 99 is 3.
Therefore, GCD of numbers 618, 966, 99 is 3
Given Input Data is 618, 966, 99
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 618 is 2 x 3 x 103
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 99 is 3 x 3 x 11
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 618, 966, 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(618, 966) = 99498
GCD(618, 966) = ( 618 x 966 ) / 99498
GCD(618, 966) = 596988 / 99498
GCD(618, 966) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 99) = 198
GCD(6, 99) = ( 6 x 99 ) / 198
GCD(6, 99) = 594 / 198
GCD(6, 99) = 3
GCD of 618, 966, 99 is 3
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 618, 966, 99
1. What is the GCD of 618, 966, 99?
GCD of 618, 966, 99 is 3
2. Where do I get the detailed procedure to find GCD of 618, 966, 99?
You can find a detailed procedure to find GCD of 618, 966, 99 on our page.
3. How to find GCD of 618, 966, 99 on a calculator?
You can find the GCD of 618, 966, 99 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.