GCD of 534, 942, 561 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 534, 942, 561 i.e. 3 largest integer that divides all the numbers equally.
GCD of 534, 942, 561 is 3
GCD(534, 942, 561) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 534, 942, 561 is 3
GCD(534, 942, 561) = 3
GCDof 534,942,561 is 3
Given Input numbers are 534, 942, 561
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Greatest Common Divisior
We found the divisors of 534, 942, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 942, 561 is 3.
Therefore, GCD of numbers 534, 942, 561 is 3
Given Input Data is 534, 942, 561
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 534 is 2 x 3 x 89
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 561 is 3 x 11 x 17
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 534, 942, 561 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(534, 942) = 83838
GCD(534, 942) = ( 534 x 942 ) / 83838
GCD(534, 942) = 503028 / 83838
GCD(534, 942) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 561
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 561) = 1122
GCD(6, 561) = ( 6 x 561 ) / 1122
GCD(6, 561) = 3366 / 1122
GCD(6, 561) = 3
GCD of 534, 942, 561 is 3
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 534, 942, 561
1. What is the GCD of 534, 942, 561?
GCD of 534, 942, 561 is 3
2. Where do I get the detailed procedure to find GCD of 534, 942, 561?
You can find a detailed procedure to find GCD of 534, 942, 561 on our page.
3. How to find GCD of 534, 942, 561 on a calculator?
You can find the GCD of 534, 942, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.