Where do I get the detailed procedure to find GCD of 712, 732, 974?

You can find a detailed procedure to find GCD of 712, 732, 974 on our page.

How to find GCD of 712, 732, 974 on a calculator?

You can find the GCD of 712, 732, 974 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 712, 732, 974 Calculator

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

Online GCD Calculator is useful to find the GCD of 712, 732, 974 quickly. Get the easiest ways to solve the greatest common divisor of 712, 732, 974 i.e 2 in different methods as follows.

How to Find GCD of Numbers 712, 732, 974 with Factoring?

Given Input numbers are 712, 732, 974

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

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (712, 732, 974) = 2.

Find GCD of 712, 732, 974 using Prime Factorization

Given numbers are 712, 732, 974

The list of prime factors of all numbers are

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 974 are 2 x 487

The highest common occurrence is 2¹

Therefore, GCD of 712, 732, 974 is 2.

Steps to Calculate GCD of 712, 732, 974 using LCM Formula

Given numbers are 712, 732, 974

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

Apply this formula for all numbers.

Step1:

LCM(712, 732) = 130296

GCD(712, 732) = ( 712 x 732 ) / 130296

= 712 / 732

= 712

Step2:

LCM(4, 974) = 1948

GCD(4, 974) = ( 4 x 974 ) / 1948

= 4 / 974

= 4

So, Greatest Common Divisor of 712, 732, 974 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 712, 732, 974

Given numbers are 712, 732, 974
The greatest common divisor of numbers 712, 732, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 732, 974 is 2.

FAQs on GCD of 712, 732, 974 Calculator

1. What is the GCD of 712, 732, 974?

GCD of given numbers 712, 732, 974 is 2

2. How to calculate the greatest common divisor of 712, 732, 974?

We can find the highest common divisor of 712, 732, 974 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 712, 732, 974 i.e 2.

3. How can I use the GCD of 712, 732, 974Calculator?

Out the numbers 712, 732, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.