GCD of 420, 765, 280 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 420, 765, 280 i.e. 5 largest integer that divides all the numbers equally.
GCD of 420, 765, 280 is 5
GCD(420, 765, 280) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 420, 765, 280 is 5
GCD(420, 765, 280) = 5
GCDof 420,765,280 is 5
Given Input numbers are 420, 765, 280
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Greatest Common Divisior
We found the divisors of 420, 765, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 765, 280 is 5.
Therefore, GCD of numbers 420, 765, 280 is 5
Given Input Data is 420, 765, 280
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
Finding GCD of 420, 765, 280 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(420, 765) = 21420
GCD(420, 765) = ( 420 x 765 ) / 21420
GCD(420, 765) = 321300 / 21420
GCD(420, 765) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 280) = 840
GCD(15, 280) = ( 15 x 280 ) / 840
GCD(15, 280) = 4200 / 840
GCD(15, 280) = 5
GCD of 420, 765, 280 is 5
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 420, 765, 280
1. What is the GCD of 420, 765, 280?
GCD of 420, 765, 280 is 5
2. Where do I get the detailed procedure to find GCD of 420, 765, 280?
You can find a detailed procedure to find GCD of 420, 765, 280 on our page.
3. How to find GCD of 420, 765, 280 on a calculator?
You can find the GCD of 420, 765, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.