GCD of 694, 200, 102 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 694, 200, 102 i.e. 2 largest integer that divides all the numbers equally.
GCD of 694, 200, 102 is 2
GCD(694, 200, 102) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 694, 200, 102 is 2
GCD(694, 200, 102) = 2
GCDof 694,200,102 is 2
Given Input numbers are 694, 200, 102
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 694
List of positive integer divisors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Greatest Common Divisior
We found the divisors of 694, 200, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 200, 102 is 2.
Therefore, GCD of numbers 694, 200, 102 is 2
Given Input Data is 694, 200, 102
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 694 is 2 x 347
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 102 is 2 x 3 x 17
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 694, 200, 102 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(694, 200) = 69400
GCD(694, 200) = ( 694 x 200 ) / 69400
GCD(694, 200) = 138800 / 69400
GCD(694, 200) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 102
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 102) = 102
GCD(2, 102) = ( 2 x 102 ) / 102
GCD(2, 102) = 204 / 102
GCD(2, 102) = 2
GCD of 694, 200, 102 is 2
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FAQs on GCD of numbers 694, 200, 102
1. What is the GCD of 694, 200, 102?
GCD of 694, 200, 102 is 2
2. Where do I get the detailed procedure to find GCD of 694, 200, 102?
You can find a detailed procedure to find GCD of 694, 200, 102 on our page.
3. How to find GCD of 694, 200, 102 on a calculator?
You can find the GCD of 694, 200, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.