GCD of 427, 925, 46 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 427, 925, 46 i.e. 1 largest integer that divides all the numbers equally.

GCD of 427, 925, 46 is 1

GCD(427, 925, 46) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 427, 925, 46 is 1

GCD(427, 925, 46) = 1

GCD of 427,925,46 Calculator

GCDof 427,925,46 is 1

Given Input numbers are 427, 925, 46

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Greatest Common Divisior

We found the divisors of 427, 925, 46 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 925, 46 is 1.

Therefore, GCD of numbers 427, 925, 46 is 1

Finding GCD of 427, 925, 46 using Prime Factorization

Given Input Data is 427, 925, 46

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 427 is 7 x 61

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 46 is 2 x 23

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

Finding GCD of 427, 925, 46 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(427, 925) = 394975

GCD(427, 925) = ( 427 x 925 ) / 394975

GCD(427, 925) = 394975 / 394975

GCD(427, 925) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

GCD of 427, 925, 46 is 1

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FAQs on GCD of numbers 427, 925, 46

1. What is the GCD of 427, 925, 46?

GCD of 427, 925, 46 is 1

2. Where do I get the detailed procedure to find GCD of 427, 925, 46?

You can find a detailed procedure to find GCD of 427, 925, 46 on our page.

3. How to find GCD of 427, 925, 46 on a calculator?

You can find the GCD of 427, 925, 46 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.