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GCD of 704, 624, 480, 337 Calculator

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


Online GCD Calculator is useful to find the GCD of 704, 624, 480, 337 quickly. Get the easiest ways to solve the greatest common divisor of 704, 624, 480, 337 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 704, 624, 480, 337 with Factoring?

Given Input numbers are 704, 624, 480, 337

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

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

Divisors of 337 :

The positive integer divisors of 337 that completely divides 337 are.

1, 337


GCD of numbers is the greatest common divisor

So, the GCD (704, 624, 480, 337) = 1.

Find GCD of 704, 624, 480, 337 using Prime Factorization

Given numbers are 704, 624, 480, 337

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

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

Prime factors of 337 are 337

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 704, 624, 480, 337 using LCM Formula

Given numbers are 704, 624, 480, 337

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

Apply this formula for all numbers.

Step1:

LCM(704, 624) = 27456

GCD(704, 624) = ( 704 x 624 ) / 27456

= 704 / 624

= 704


Step2:

LCM(16, 480) = 480

GCD(16, 480) = ( 16 x 480 ) / 480

= 16 / 480

= 16


Step3:

LCM(16, 337) = 5392

GCD(16, 337) = ( 16 x 337 ) / 5392

= 16 / 337

= 16


So, Greatest Common Divisor of 704, 624, 480, 337 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 704, 624, 480, 337

Given numbers are 704, 624, 480, 337
The greatest common divisor of numbers 704, 624, 480, 337 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 624, 480, 337 is 1.

FAQs on GCD of 704, 624, 480, 337 Calculator

1. What is the GCD of 704, 624, 480, 337?

GCD of given numbers 704, 624, 480, 337 is 1


2. How to calculate the greatest common divisor of 704, 624, 480, 337?

We can find the highest common divisor of 704, 624, 480, 337 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 704, 624, 480, 337 i.e 1.


3. How can I use the GCD of 704, 624, 480, 337Calculator?

Out the numbers 704, 624, 480, 337 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.