GCD of 684, 322, 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 684, 322, 49 i.e. 1 largest integer that divides all the numbers equally.
GCD of 684, 322, 49 is 1
GCD(684, 322, 49) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 684, 322, 49 is 1
GCD(684, 322, 49) = 1
GCDof 684,322,49 is 1
Given Input numbers are 684, 322, 49
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
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 684, 322, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 322, 49 is 1.
Therefore, GCD of numbers 684, 322, 49 is 1
Given Input Data is 684, 322, 49
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 322 is 2 x 7 x 23
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 684, 322, 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(684, 322) = 110124
GCD(684, 322) = ( 684 x 322 ) / 110124
GCD(684, 322) = 220248 / 110124
GCD(684, 322) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 49) = 98
GCD(2, 49) = ( 2 x 49 ) / 98
GCD(2, 49) = 98 / 98
GCD(2, 49) = 1
GCD of 684, 322, 49 is 1
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FAQs on GCD of numbers 684, 322, 49
1. What is the GCD of 684, 322, 49?
GCD of 684, 322, 49 is 1
2. Where do I get the detailed procedure to find GCD of 684, 322, 49?
You can find a detailed procedure to find GCD of 684, 322, 49 on our page.
3. How to find GCD of 684, 322, 49 on a calculator?
You can find the GCD of 684, 322, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.