GCD of 561, 782, 55 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 561, 782, 55 i.e. 1 largest integer that divides all the numbers equally.
GCD of 561, 782, 55 is 1
GCD(561, 782, 55) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 561, 782, 55 is 1
GCD(561, 782, 55) = 1
GCDof 561,782,55 is 1
Given Input numbers are 561, 782, 55
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Greatest Common Divisior
We found the divisors of 561, 782, 55 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 782, 55 is 1.
Therefore, GCD of numbers 561, 782, 55 is 1
Given Input Data is 561, 782, 55
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 561 is 3 x 11 x 17
Prime Factorization of 782 is 2 x 17 x 23
Prime Factorization of 55 is 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 561, 782, 55 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(561, 782) = 25806
GCD(561, 782) = ( 561 x 782 ) / 25806
GCD(561, 782) = 438702 / 25806
GCD(561, 782) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 55) = 935
GCD(17, 55) = ( 17 x 55 ) / 935
GCD(17, 55) = 935 / 935
GCD(17, 55) = 1
GCD of 561, 782, 55 is 1
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FAQs on GCD of numbers 561, 782, 55
1. What is the GCD of 561, 782, 55?
GCD of 561, 782, 55 is 1
2. Where do I get the detailed procedure to find GCD of 561, 782, 55?
You can find a detailed procedure to find GCD of 561, 782, 55 on our page.
3. How to find GCD of 561, 782, 55 on a calculator?
You can find the GCD of 561, 782, 55 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.