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GCD of 674, 326, 260, 480 Calculator

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


Online GCD Calculator is useful to find the GCD of 674, 326, 260, 480 quickly. Get the easiest ways to solve the greatest common divisor of 674, 326, 260, 480 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 674, 326, 260, 480 with Factoring?

Given Input numbers are 674, 326, 260, 480

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

Divisors of 674 :

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

1, 2, 337, 674

Divisors of 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480


GCD of numbers is the greatest common divisor

So, the GCD (674, 326, 260, 480) = 2.

Find GCD of 674, 326, 260, 480 using Prime Factorization

Given numbers are 674, 326, 260, 480

The list of prime factors of all numbers are

Prime factors of 674 are 2 x 337

Prime factors of 326 are 2 x 163

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 21

Therefore, GCD of 674, 326, 260, 480 is 2.

Steps to Calculate GCD of 674, 326, 260, 480 using LCM Formula

Given numbers are 674, 326, 260, 480

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

Apply this formula for all numbers.

Step1:

LCM(674, 326) = 109862

GCD(674, 326) = ( 674 x 326 ) / 109862

= 674 / 326

= 674


Step2:

LCM(2, 260) = 260

GCD(2, 260) = ( 2 x 260 ) / 260

= 2 / 260

= 2


Step3:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2


So, Greatest Common Divisor of 674, 326, 260, 480 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 674, 326, 260, 480

Given numbers are 674, 326, 260, 480
The greatest common divisor of numbers 674, 326, 260, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 326, 260, 480 is 2.

FAQs on GCD of 674, 326, 260, 480 Calculator

1. What is the GCD of 674, 326, 260, 480?

GCD of given numbers 674, 326, 260, 480 is 2


2. How to calculate the greatest common divisor of 674, 326, 260, 480?

We can find the highest common divisor of 674, 326, 260, 480 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 674, 326, 260, 480 i.e 2.


3. How can I use the GCD of 674, 326, 260, 480Calculator?

Out the numbers 674, 326, 260, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.