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GCD of 514, 384, 135, 247 Calculator

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


Online GCD Calculator is useful to find the GCD of 514, 384, 135, 247 quickly. Get the easiest ways to solve the greatest common divisor of 514, 384, 135, 247 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 514, 384, 135, 247 with Factoring?

Given Input numbers are 514, 384, 135, 247

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

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 247 :

The positive integer divisors of 247 that completely divides 247 are.

1, 13, 19, 247


GCD of numbers is the greatest common divisor

So, the GCD (514, 384, 135, 247) = 1.

Find GCD of 514, 384, 135, 247 using Prime Factorization

Given numbers are 514, 384, 135, 247

The list of prime factors of all numbers are

Prime factors of 514 are 2 x 257

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 247 are 13 x 19

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

Steps to Calculate GCD of 514, 384, 135, 247 using LCM Formula

Given numbers are 514, 384, 135, 247

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

Apply this formula for all numbers.

Step1:

LCM(514, 384) = 98688

GCD(514, 384) = ( 514 x 384 ) / 98688

= 514 / 384

= 514


Step2:

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

= 2 / 135

= 2


Step3:

LCM(1, 247) = 247

GCD(1, 247) = ( 1 x 247 ) / 247

= 1 / 247

= 1


So, Greatest Common Divisor of 514, 384, 135, 247 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 514, 384, 135, 247

Given numbers are 514, 384, 135, 247
The greatest common divisor of numbers 514, 384, 135, 247 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 514, 384, 135, 247 is 1.

FAQs on GCD of 514, 384, 135, 247 Calculator

1. What is the GCD of 514, 384, 135, 247?

GCD of given numbers 514, 384, 135, 247 is 1


2. How to calculate the greatest common divisor of 514, 384, 135, 247?

We can find the highest common divisor of 514, 384, 135, 247 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 514, 384, 135, 247 i.e 1.


3. How can I use the GCD of 514, 384, 135, 247Calculator?

Out the numbers 514, 384, 135, 247 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.