GCD of 803, 300, 49 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 803, 300, 49 i.e. 1 largest integer that divides all the numbers equally.
GCD of 803, 300, 49 is 1
GCD(803, 300, 49) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 803, 300, 49 is 1
GCD(803, 300, 49) = 1
GCDof 803,300,49 is 1
Given Input numbers are 803, 300, 49
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 803
List of positive integer divisors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Greatest Common Divisior
We found the divisors of 803, 300, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 803, 300, 49 is 1.
Therefore, GCD of numbers 803, 300, 49 is 1
Given Input Data is 803, 300, 49
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 803 is 11 x 73
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 49 is 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 803, 300, 49 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(803, 300) = 240900
GCD(803, 300) = ( 803 x 300 ) / 240900
GCD(803, 300) = 240900 / 240900
GCD(803, 300) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 1
GCD of 803, 300, 49 is 1
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FAQs on GCD of numbers 803, 300, 49
1. What is the GCD of 803, 300, 49?
GCD of 803, 300, 49 is 1
2. Where do I get the detailed procedure to find GCD of 803, 300, 49?
You can find a detailed procedure to find GCD of 803, 300, 49 on our page.
3. How to find GCD of 803, 300, 49 on a calculator?
You can find the GCD of 803, 300, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
