Where do I get the detailed procedure to find GCD of 970, 648, 74?

You can find a detailed procedure to find GCD of 970, 648, 74 on our page.

How to find GCD of 970, 648, 74 on a calculator?

You can find the GCD of 970, 648, 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 970, 648, 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 970, 648, 74 quickly. Get the easiest ways to solve the greatest common divisor of 970, 648, 74 i.e 2 in different methods as follows.

How to Find GCD of Numbers 970, 648, 74 with Factoring?

Given Input numbers are 970, 648, 74

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

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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 (970, 648, 74) = 2.

Find GCD of 970, 648, 74 using Prime Factorization

Given numbers are 970, 648, 74

The list of prime factors of all numbers are

Prime factors of 970 are 2 x 5 x 97

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 74 are 2 x 37

The highest common occurrence is 2¹

Therefore, GCD of 970, 648, 74 is 2.

Steps to Calculate GCD of 970, 648, 74 using LCM Formula

Given numbers are 970, 648, 74

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

Apply this formula for all numbers.

Step1:

LCM(970, 648) = 314280

GCD(970, 648) = ( 970 x 648 ) / 314280

= 970 / 648

= 970

Step2:

LCM(2, 74) = 74

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

= 2 / 74

= 2

So, Greatest Common Divisor of 970, 648, 74 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 970, 648, 74

Given numbers are 970, 648, 74
The greatest common divisor of numbers 970, 648, 74 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 970, 648, 74 is 2.

FAQs on GCD of 970, 648, 74 Calculator

1. What is the GCD of 970, 648, 74?

GCD of given numbers 970, 648, 74 is 2

2. How to calculate the greatest common divisor of 970, 648, 74?

We can find the highest common divisor of 970, 648, 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 970, 648, 74 i.e 2.

3. How can I use the GCD of 970, 648, 74Calculator?

Out the numbers 970, 648, 74 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.