GCD of 636, 402, 693 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 636, 402, 693 i.e. 3 largest integer that divides all the numbers equally.
GCD of 636, 402, 693 is 3
GCD(636, 402, 693) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 636, 402, 693 is 3
GCD(636, 402, 693) = 3
GCDof 636,402,693 is 3
Given Input numbers are 636, 402, 693
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Greatest Common Divisior
We found the divisors of 636, 402, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 402, 693 is 3.
Therefore, GCD of numbers 636, 402, 693 is 3
Given Input Data is 636, 402, 693
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 636 is 2 x 2 x 3 x 53
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 693 is 3 x 3 x 7 x 11
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 636, 402, 693 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(636, 402) = 42612
GCD(636, 402) = ( 636 x 402 ) / 42612
GCD(636, 402) = 255672 / 42612
GCD(636, 402) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 693
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 693) = 1386
GCD(6, 693) = ( 6 x 693 ) / 1386
GCD(6, 693) = 4158 / 1386
GCD(6, 693) = 3
GCD of 636, 402, 693 is 3
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 636, 402, 693
1. What is the GCD of 636, 402, 693?
GCD of 636, 402, 693 is 3
2. Where do I get the detailed procedure to find GCD of 636, 402, 693?
You can find a detailed procedure to find GCD of 636, 402, 693 on our page.
3. How to find GCD of 636, 402, 693 on a calculator?
You can find the GCD of 636, 402, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.