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GCD of 428, 168, 59 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 428, 168, 59 quickly. Get the easiest ways to solve the greatest common divisor of 428, 168, 59 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 428, 168, 59 with Factoring?

Given Input numbers are 428, 168, 59

In the factoring method, we have to find the divisors of all numbers

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 59 :

The positive integer divisors of 59 that completely divides 59 are.

1, 59


GCD of numbers is the greatest common divisor

So, the GCD (428, 168, 59) = 1.

Find GCD of 428, 168, 59 using Prime Factorization

Given numbers are 428, 168, 59

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 59 are 59

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 428, 168, 59 using LCM Formula

Given numbers are 428, 168, 59

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(428, 168) = 17976

GCD(428, 168) = ( 428 x 168 ) / 17976

= 428 / 168

= 428


Step2:

LCM(4, 59) = 236

GCD(4, 59) = ( 4 x 59 ) / 236

= 4 / 59

= 4


So, Greatest Common Divisor of 428, 168, 59 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 428, 168, 59

Given numbers are 428, 168, 59
The greatest common divisor of numbers 428, 168, 59 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 168, 59 is 1.

FAQs on GCD of 428, 168, 59 Calculator

1. What is the GCD of 428, 168, 59?

GCD of given numbers 428, 168, 59 is 1


2. How to calculate the greatest common divisor of 428, 168, 59?

We can find the highest common divisor of 428, 168, 59 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 428, 168, 59 i.e 1.


3. How can I use the GCD of 428, 168, 59Calculator?

Out the numbers 428, 168, 59 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.