GCD of 217, 420, 151 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 217, 420, 151 i.e. 1 largest integer that divides all the numbers equally.
GCD of 217, 420, 151 is 1
GCD(217, 420, 151) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 217, 420, 151 is 1
GCD(217, 420, 151) = 1
GCDof 217,420,151 is 1
Given Input numbers are 217, 420, 151
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
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 151
List of positive integer divisors of 151 that divides 151 without a remainder.
1, 151
Greatest Common Divisior
We found the divisors of 217, 420, 151 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 420, 151 is 1.
Therefore, GCD of numbers 217, 420, 151 is 1
Given Input Data is 217, 420, 151
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 217 is 7 x 31
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 151 is 151
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 217, 420, 151 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(217, 420) = 13020
GCD(217, 420) = ( 217 x 420 ) / 13020
GCD(217, 420) = 91140 / 13020
GCD(217, 420) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 151
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 151) = 1057
GCD(7, 151) = ( 7 x 151 ) / 1057
GCD(7, 151) = 1057 / 1057
GCD(7, 151) = 1
GCD of 217, 420, 151 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 217, 420, 151
1. What is the GCD of 217, 420, 151?
GCD of 217, 420, 151 is 1
2. Where do I get the detailed procedure to find GCD of 217, 420, 151?
You can find a detailed procedure to find GCD of 217, 420, 151 on our page.
3. How to find GCD of 217, 420, 151 on a calculator?
You can find the GCD of 217, 420, 151 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.