GCD of 205, 148, 420 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 205, 148, 420 quickly. Get the easiest ways to solve the greatest common divisor of 205, 148, 420 i.e 1 in different methods as follows.
Given Input numbers are 205, 148, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 205 :
The positive integer divisors of 205 that completely divides 205 are.
1, 5, 41, 205
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (205, 148, 420) = 1.
Given numbers are 205, 148, 420
The list of prime factors of all numbers are
Prime factors of 205 are 5 x 41
Prime factors of 148 are 2 x 2 x 37
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 205, 148, 420 using LCM Formula
Given numbers are 205, 148, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(205, 148) = 30340
GCD(205, 148) = ( 205 x 148 ) / 30340
= 205 / 148
= 205
Step2:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 205, 148, 420 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 205, 148, 420
Given numbers are 205, 148, 420
The greatest common divisor of numbers 205, 148, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 205, 148, 420 is 1.
FAQs on GCD of 205, 148, 420 Calculator
1. What is the GCD of 205, 148, 420?
GCD of given numbers 205, 148, 420 is 1
2. How to calculate the greatest common divisor of 205, 148, 420?
We can find the highest common divisor of 205, 148, 420 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 205, 148, 420 i.e 1.
3. How can I use the GCD of 205, 148, 420Calculator?
Out the numbers 205, 148, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.