GCD of 427, 665, 420 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 427, 665, 420 i.e. 7 largest integer that divides all the numbers equally.
GCD of 427, 665, 420 is 7
GCD(427, 665, 420) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 427, 665, 420 is 7
GCD(427, 665, 420) = 7
GCDof 427,665,420 is 7
Given Input numbers are 427, 665, 420
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
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
Greatest Common Divisior
We found the divisors of 427, 665, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 665, 420 is 7.
Therefore, GCD of numbers 427, 665, 420 is 7
Given Input Data is 427, 665, 420
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 427 is 7 x 61
Prime Factorization of 665 is 5 x 7 x 19
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
Finding GCD of 427, 665, 420 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(427, 665) = 40565
GCD(427, 665) = ( 427 x 665 ) / 40565
GCD(427, 665) = 283955 / 40565
GCD(427, 665) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 420
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 420) = 420
GCD(7, 420) = ( 7 x 420 ) / 420
GCD(7, 420) = 2940 / 420
GCD(7, 420) = 7
GCD of 427, 665, 420 is 7
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 427, 665, 420
1. What is the GCD of 427, 665, 420?
GCD of 427, 665, 420 is 7
2. Where do I get the detailed procedure to find GCD of 427, 665, 420?
You can find a detailed procedure to find GCD of 427, 665, 420 on our page.
3. How to find GCD of 427, 665, 420 on a calculator?
You can find the GCD of 427, 665, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.