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GCD of 463, 480, 349, 164 Calculator

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


Online GCD Calculator is useful to find the GCD of 463, 480, 349, 164 quickly. Get the easiest ways to solve the greatest common divisor of 463, 480, 349, 164 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 463, 480, 349, 164 with Factoring?

Given Input numbers are 463, 480, 349, 164

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

Divisors of 463 :

The positive integer divisors of 463 that completely divides 463 are.

1, 463

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 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164


GCD of numbers is the greatest common divisor

So, the GCD (463, 480, 349, 164) = 1.

Find GCD of 463, 480, 349, 164 using Prime Factorization

Given numbers are 463, 480, 349, 164

The list of prime factors of all numbers are

Prime factors of 463 are 463

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

Prime factors of 349 are 349

Prime factors of 164 are 2 x 2 x 41

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

Steps to Calculate GCD of 463, 480, 349, 164 using LCM Formula

Given numbers are 463, 480, 349, 164

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

Apply this formula for all numbers.

Step1:

LCM(463, 480) = 222240

GCD(463, 480) = ( 463 x 480 ) / 222240

= 463 / 480

= 463


Step2:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1


Step3:

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

= 1 / 164

= 1


So, Greatest Common Divisor of 463, 480, 349, 164 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 463, 480, 349, 164

Given numbers are 463, 480, 349, 164
The greatest common divisor of numbers 463, 480, 349, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 463, 480, 349, 164 is 1.

FAQs on GCD of 463, 480, 349, 164 Calculator

1. What is the GCD of 463, 480, 349, 164?

GCD of given numbers 463, 480, 349, 164 is 1


2. How to calculate the greatest common divisor of 463, 480, 349, 164?

We can find the highest common divisor of 463, 480, 349, 164 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 463, 480, 349, 164 i.e 1.


3. How can I use the GCD of 463, 480, 349, 164Calculator?

Out the numbers 463, 480, 349, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.