GCD of 840, 568, 355 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 840, 568, 355 i.e. 1 largest integer that divides all the numbers equally.
GCD of 840, 568, 355 is 1
GCD(840, 568, 355) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 840, 568, 355 is 1
GCD(840, 568, 355) = 1
GCDof 840,568,355 is 1
Given Input numbers are 840, 568, 355
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Greatest Common Divisior
We found the divisors of 840, 568, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 568, 355 is 1.
Therefore, GCD of numbers 840, 568, 355 is 1
Given Input Data is 840, 568, 355
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 568 is 2 x 2 x 2 x 71
Prime Factorization of 355 is 5 x 71
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 840, 568, 355 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(840, 568) = 59640
GCD(840, 568) = ( 840 x 568 ) / 59640
GCD(840, 568) = 477120 / 59640
GCD(840, 568) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 355
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 355) = 2840
GCD(8, 355) = ( 8 x 355 ) / 2840
GCD(8, 355) = 2840 / 2840
GCD(8, 355) = 1
GCD of 840, 568, 355 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 840, 568, 355
1. What is the GCD of 840, 568, 355?
GCD of 840, 568, 355 is 1
2. Where do I get the detailed procedure to find GCD of 840, 568, 355?
You can find a detailed procedure to find GCD of 840, 568, 355 on our page.
3. How to find GCD of 840, 568, 355 on a calculator?
You can find the GCD of 840, 568, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.