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GCD of 538, 354, 473, 146 Calculator

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


Online GCD Calculator is useful to find the GCD of 538, 354, 473, 146 quickly. Get the easiest ways to solve the greatest common divisor of 538, 354, 473, 146 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 538, 354, 473, 146 with Factoring?

Given Input numbers are 538, 354, 473, 146

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 473 :

The positive integer divisors of 473 that completely divides 473 are.

1, 11, 43, 473

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146


GCD of numbers is the greatest common divisor

So, the GCD (538, 354, 473, 146) = 1.

Find GCD of 538, 354, 473, 146 using Prime Factorization

Given numbers are 538, 354, 473, 146

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 354 are 2 x 3 x 59

Prime factors of 473 are 11 x 43

Prime factors of 146 are 2 x 73

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

Steps to Calculate GCD of 538, 354, 473, 146 using LCM Formula

Given numbers are 538, 354, 473, 146

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

Apply this formula for all numbers.

Step1:

LCM(538, 354) = 95226

GCD(538, 354) = ( 538 x 354 ) / 95226

= 538 / 354

= 538


Step2:

LCM(2, 473) = 946

GCD(2, 473) = ( 2 x 473 ) / 946

= 2 / 473

= 2


Step3:

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

= 1 / 146

= 1


So, Greatest Common Divisor of 538, 354, 473, 146 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 538, 354, 473, 146

Given numbers are 538, 354, 473, 146
The greatest common divisor of numbers 538, 354, 473, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 354, 473, 146 is 1.

FAQs on GCD of 538, 354, 473, 146 Calculator

1. What is the GCD of 538, 354, 473, 146?

GCD of given numbers 538, 354, 473, 146 is 1


2. How to calculate the greatest common divisor of 538, 354, 473, 146?

We can find the highest common divisor of 538, 354, 473, 146 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 538, 354, 473, 146 i.e 1.


3. How can I use the GCD of 538, 354, 473, 146Calculator?

Out the numbers 538, 354, 473, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.