GCD of 420, 860, 995 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, 860, 995 i.e. 5 largest integer that divides all the numbers equally.
GCD of 420, 860, 995 is 5
GCD(420, 860, 995) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 420, 860, 995 is 5
GCD(420, 860, 995) = 5
GCDof 420,860,995 is 5
Given Input numbers are 420, 860, 995
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 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Greatest Common Divisior
We found the divisors of 420, 860, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 860, 995 is 5.
Therefore, GCD of numbers 420, 860, 995 is 5
Given Input Data is 420, 860, 995
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 860 is 2 x 2 x 5 x 43
Prime Factorization of 995 is 5 x 199
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
Finding GCD of 420, 860, 995 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, 860) = 18060
GCD(420, 860) = ( 420 x 860 ) / 18060
GCD(420, 860) = 361200 / 18060
GCD(420, 860) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 995
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 995) = 3980
GCD(20, 995) = ( 20 x 995 ) / 3980
GCD(20, 995) = 19900 / 3980
GCD(20, 995) = 5
GCD of 420, 860, 995 is 5
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FAQs on GCD of numbers 420, 860, 995
1. What is the GCD of 420, 860, 995?
GCD of 420, 860, 995 is 5
2. Where do I get the detailed procedure to find GCD of 420, 860, 995?
You can find a detailed procedure to find GCD of 420, 860, 995 on our page.
3. How to find GCD of 420, 860, 995 on a calculator?
You can find the GCD of 420, 860, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.