GCD of 428, 780, 882 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 428, 780, 882 i.e. 2 largest integer that divides all the numbers equally.
GCD of 428, 780, 882 is 2
GCD(428, 780, 882) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 780, 882 is 2
GCD(428, 780, 882) = 2
GCDof 428,780,882 is 2
Given Input numbers are 428, 780, 882
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Greatest Common Divisior
We found the divisors of 428, 780, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 780, 882 is 2.
Therefore, GCD of numbers 428, 780, 882 is 2
Given Input Data is 428, 780, 882
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 428, 780, 882 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(428, 780) = 83460
GCD(428, 780) = ( 428 x 780 ) / 83460
GCD(428, 780) = 333840 / 83460
GCD(428, 780) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 882
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 882) = 1764
GCD(4, 882) = ( 4 x 882 ) / 1764
GCD(4, 882) = 3528 / 1764
GCD(4, 882) = 2
GCD of 428, 780, 882 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 428, 780, 882
1. What is the GCD of 428, 780, 882?
GCD of 428, 780, 882 is 2
2. Where do I get the detailed procedure to find GCD of 428, 780, 882?
You can find a detailed procedure to find GCD of 428, 780, 882 on our page.
3. How to find GCD of 428, 780, 882 on a calculator?
You can find the GCD of 428, 780, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.