Where do I get the detailed procedure to find GCD of 652, 280, 674?

You can find a detailed procedure to find GCD of 652, 280, 674 on our page.

How to find GCD of 652, 280, 674 on a calculator?

You can find the GCD of 652, 280, 674 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 652, 280, 674 Calculator

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

Online GCD Calculator is useful to find the GCD of 652, 280, 674 quickly. Get the easiest ways to solve the greatest common divisor of 652, 280, 674 i.e 2 in different methods as follows.

How to Find GCD of Numbers 652, 280, 674 with Factoring?

Given Input numbers are 652, 280, 674

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

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (652, 280, 674) = 2.

Find GCD of 652, 280, 674 using Prime Factorization

Given numbers are 652, 280, 674

The list of prime factors of all numbers are

Prime factors of 652 are 2 x 2 x 163

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 674 are 2 x 337

The highest common occurrence is 2¹

Therefore, GCD of 652, 280, 674 is 2.

Steps to Calculate GCD of 652, 280, 674 using LCM Formula

Given numbers are 652, 280, 674

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

Apply this formula for all numbers.

Step1:

LCM(652, 280) = 45640

GCD(652, 280) = ( 652 x 280 ) / 45640

= 652 / 280

= 652

Step2:

LCM(4, 674) = 1348

GCD(4, 674) = ( 4 x 674 ) / 1348

= 4 / 674

= 4

So, Greatest Common Divisor of 652, 280, 674 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 652, 280, 674

Given numbers are 652, 280, 674
The greatest common divisor of numbers 652, 280, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 652, 280, 674 is 2.

FAQs on GCD of 652, 280, 674 Calculator

1. What is the GCD of 652, 280, 674?

GCD of given numbers 652, 280, 674 is 2

2. How to calculate the greatest common divisor of 652, 280, 674?

We can find the highest common divisor of 652, 280, 674 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 652, 280, 674 i.e 2.

3. How can I use the GCD of 652, 280, 674Calculator?

Out the numbers 652, 280, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.