GCD of 221, 793, 149, 428 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 221, 793, 149, 428 quickly. Get the easiest ways to solve the greatest common divisor of 221, 793, 149, 428 i.e 1 in different methods as follows.
Given Input numbers are 221, 793, 149, 428
In the factoring method, we have to find the divisors of all numbers
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
Divisors of 793 :
The positive integer divisors of 793 that completely divides 793 are.
1, 13, 61, 793
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
GCD of numbers is the greatest common divisor
So, the GCD (221, 793, 149, 428) = 1.
Given numbers are 221, 793, 149, 428
The list of prime factors of all numbers are
Prime factors of 221 are 13 x 17
Prime factors of 793 are 13 x 61
Prime factors of 149 are 149
Prime factors of 428 are 2 x 2 x 107
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 221, 793, 149, 428 using LCM Formula
Given numbers are 221, 793, 149, 428
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(221, 793) = 13481
GCD(221, 793) = ( 221 x 793 ) / 13481
= 221 / 793
= 221
Step2:
LCM(13, 149) = 1937
GCD(13, 149) = ( 13 x 149 ) / 1937
= 13 / 149
= 13
Step3:
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
= 1 / 428
= 1
So, Greatest Common Divisor of 221, 793, 149, 428 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 221, 793, 149, 428
Given numbers are 221, 793, 149, 428
The greatest common divisor of numbers 221, 793, 149, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 221, 793, 149, 428 is 1.
FAQs on GCD of 221, 793, 149, 428 Calculator
1. What is the GCD of 221, 793, 149, 428?
GCD of given numbers 221, 793, 149, 428 is 1
2. How to calculate the greatest common divisor of 221, 793, 149, 428?
We can find the highest common divisor of 221, 793, 149, 428 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 221, 793, 149, 428 i.e 1.
3. How can I use the GCD of 221, 793, 149, 428Calculator?
Out the numbers 221, 793, 149, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.