Where do I get the detailed procedure to find GCD of 874, 308, 74?

You can find a detailed procedure to find GCD of 874, 308, 74 on our page.

How to find GCD of 874, 308, 74 on a calculator?

You can find the GCD of 874, 308, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 874, 308, 74 Calculator

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

Online GCD Calculator is useful to find the GCD of 874, 308, 74 quickly. Get the easiest ways to solve the greatest common divisor of 874, 308, 74 i.e 2 in different methods as follows.

How to Find GCD of Numbers 874, 308, 74 with Factoring?

Given Input numbers are 874, 308, 74

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74

GCD of numbers is the greatest common divisor

So, the GCD (874, 308, 74) = 2.

Find GCD of 874, 308, 74 using Prime Factorization

Given numbers are 874, 308, 74

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 74 are 2 x 37

The highest common occurrence is 2¹

Therefore, GCD of 874, 308, 74 is 2.

Steps to Calculate GCD of 874, 308, 74 using LCM Formula

Given numbers are 874, 308, 74

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

Apply this formula for all numbers.

Step1:

LCM(874, 308) = 134596

GCD(874, 308) = ( 874 x 308 ) / 134596

= 874 / 308

= 874

Step2:

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

= 2 / 74

= 2

So, Greatest Common Divisor of 874, 308, 74 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 874, 308, 74

Given numbers are 874, 308, 74
The greatest common divisor of numbers 874, 308, 74 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 308, 74 is 2.

FAQs on GCD of 874, 308, 74 Calculator

1. What is the GCD of 874, 308, 74?

GCD of given numbers 874, 308, 74 is 2

2. How to calculate the greatest common divisor of 874, 308, 74?

We can find the highest common divisor of 874, 308, 74 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 874, 308, 74 i.e 2.

3. How can I use the GCD of 874, 308, 74Calculator?

Out the numbers 874, 308, 74 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.