GCD of 200, 262, 753 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, 262, 753 i.e. 1 largest integer that divides all the numbers equally.
GCD of 200, 262, 753 is 1
GCD(200, 262, 753) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 200, 262, 753 is 1
GCD(200, 262, 753) = 1
GCDof 200,262,753 is 1
Given Input numbers are 200, 262, 753
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 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Greatest Common Divisior
We found the divisors of 200, 262, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 262, 753 is 1.
Therefore, GCD of numbers 200, 262, 753 is 1
Given Input Data is 200, 262, 753
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 262 is 2 x 131
Prime Factorization of 753 is 3 x 251
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 200, 262, 753 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, 262) = 26200
GCD(200, 262) = ( 200 x 262 ) / 26200
GCD(200, 262) = 52400 / 26200
GCD(200, 262) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 753) = 1506
GCD(2, 753) = ( 2 x 753 ) / 1506
GCD(2, 753) = 1506 / 1506
GCD(2, 753) = 1
GCD of 200, 262, 753 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 200, 262, 753
1. What is the GCD of 200, 262, 753?
GCD of 200, 262, 753 is 1
2. Where do I get the detailed procedure to find GCD of 200, 262, 753?
You can find a detailed procedure to find GCD of 200, 262, 753 on our page.
3. How to find GCD of 200, 262, 753 on a calculator?
You can find the GCD of 200, 262, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
