GCD of 229, 840, 148 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 229, 840, 148 i.e. 1 largest integer that divides all the numbers equally.
GCD of 229, 840, 148 is 1
GCD(229, 840, 148) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 229, 840, 148 is 1
GCD(229, 840, 148) = 1
GCDof 229,840,148 is 1
Given Input numbers are 229, 840, 148
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Greatest Common Divisior
We found the divisors of 229, 840, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 840, 148 is 1.
Therefore, GCD of numbers 229, 840, 148 is 1
Given Input Data is 229, 840, 148
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 229 is 229
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 148 is 2 x 2 x 37
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 229, 840, 148 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(229, 840) = 192360
GCD(229, 840) = ( 229 x 840 ) / 192360
GCD(229, 840) = 192360 / 192360
GCD(229, 840) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 148
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 148) = 148
GCD(1, 148) = ( 1 x 148 ) / 148
GCD(1, 148) = 148 / 148
GCD(1, 148) = 1
GCD of 229, 840, 148 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 229, 840, 148
1. What is the GCD of 229, 840, 148?
GCD of 229, 840, 148 is 1
2. Where do I get the detailed procedure to find GCD of 229, 840, 148?
You can find a detailed procedure to find GCD of 229, 840, 148 on our page.
3. How to find GCD of 229, 840, 148 on a calculator?
You can find the GCD of 229, 840, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.