GCD of 874, 460, 620 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 874, 460, 620 i.e. 2 largest integer that divides all the numbers equally.

GCD of 874, 460, 620 is 2

GCD(874, 460, 620) = 2

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

GCD of

GCD of numbers 874, 460, 620 is 2

GCD(874, 460, 620) = 2

GCD of 874,460,620 Calculator

GCDof 874,460,620 is 2

Given Input numbers are 874, 460, 620

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Greatest Common Divisior

We found the divisors of 874, 460, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 460, 620 is 2.

Therefore, GCD of numbers 874, 460, 620 is 2

Finding GCD of 874, 460, 620 using Prime Factorization

Given Input Data is 874, 460, 620

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 620 is 2 x 2 x 5 x 31

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 874, 460, 620 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(874, 460) = 8740

GCD(874, 460) = ( 874 x 460 ) / 8740

GCD(874, 460) = 402040 / 8740

GCD(874, 460) = 46

Step2:

Here we consider the GCD from the above i.e. 46 as first number and the next as 620

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

LCM(46, 620) = 14260

GCD(46, 620) = ( 46 x 620 ) / 14260

GCD(46, 620) = 28520 / 14260

GCD(46, 620) = 2

GCD of 874, 460, 620 is 2

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FAQs on GCD of numbers 874, 460, 620

1. What is the GCD of 874, 460, 620?

GCD of 874, 460, 620 is 2

2. Where do I get the detailed procedure to find GCD of 874, 460, 620?

You can find a detailed procedure to find GCD of 874, 460, 620 on our page.

3. How to find GCD of 874, 460, 620 on a calculator?

You can find the GCD of 874, 460, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.