GCD of 200, 136, 122 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 200, 136, 122 i.e. 2 largest integer that divides all the numbers equally.
GCD of 200, 136, 122 is 2
GCD(200, 136, 122) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 200, 136, 122 is 2
GCD(200, 136, 122) = 2
GCDof 200,136,122 is 2
Given Input numbers are 200, 136, 122
To find the GCD of numbers using factoring list out all the divisors of each number
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 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Greatest Common Divisior
We found the divisors of 200, 136, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 136, 122 is 2.
Therefore, GCD of numbers 200, 136, 122 is 2
Given Input Data is 200, 136, 122
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 122 is 2 x 61
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 200, 136, 122 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(200, 136) = 3400
GCD(200, 136) = ( 200 x 136 ) / 3400
GCD(200, 136) = 27200 / 3400
GCD(200, 136) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 122
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 122) = 488
GCD(8, 122) = ( 8 x 122 ) / 488
GCD(8, 122) = 976 / 488
GCD(8, 122) = 2
GCD of 200, 136, 122 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 200, 136, 122
1. What is the GCD of 200, 136, 122?
GCD of 200, 136, 122 is 2
2. Where do I get the detailed procedure to find GCD of 200, 136, 122?
You can find a detailed procedure to find GCD of 200, 136, 122 on our page.
3. How to find GCD of 200, 136, 122 on a calculator?
You can find the GCD of 200, 136, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.