GCD of 96, 464, 705, 341 Calculator

Given Input numbers are 96, 464, 705, 341

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 96, 464, 705, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 464, 705, 341 is 1.

Therefore, GCD of numbers 96, 464, 705, 341 is 1

Given Input Data is 96, 464, 705, 341

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 341 is 11 x 31

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(96, 464) = 2784

GCD(96, 464) = ( 96 x 464 ) / 2784

GCD(96, 464) = 44544 / 2784

GCD(96, 464) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 705

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

LCM(16, 705) = 11280

GCD(16, 705) = ( 16 x 705 ) / 11280

GCD(16, 705) = 11280 / 11280

GCD(16, 705) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 96, 464, 705, 341 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 581, 574, 648
• GCD of 58, 601, 747, 282
• GCD of 42, 619, 282, 839
• GCD of 98, 201, 500, 812
• GCD of 19, 998, 803, 207

1. What is the GCD of 96, 464, 705, 341?

GCD of 96, 464, 705, 341 is 1

2. Where do I get the detailed procedure to find GCD of 96, 464, 705, 341?

You can find a detailed procedure to find GCD of 96, 464, 705, 341 on our page.

3. How to find GCD of 96, 464, 705, 341 on a calculator?

You can find the GCD of 96, 464, 705, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.