GCD of 576, 346, 667, 118 Calculator

Given Input numbers are 576, 346, 667, 118

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 576, 346, 667, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 346, 667, 118 is 1.

Therefore, GCD of numbers 576, 346, 667, 118 is 1

Given Input Data is 576, 346, 667, 118

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 346 is 2 x 173

Prime Factorization of 667 is 23 x 29

Prime Factorization of 118 is 2 x 59

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(576, 346) = 99648

GCD(576, 346) = ( 576 x 346 ) / 99648

GCD(576, 346) = 199296 / 99648

GCD(576, 346) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 667

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

LCM(2, 667) = 1334

GCD(2, 667) = ( 2 x 667 ) / 1334

GCD(2, 667) = 1334 / 1334

GCD(2, 667) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 576, 346, 667, 118 is 1

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• GCD of 281, 953, 455, 291
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1. What is the GCD of 576, 346, 667, 118?

GCD of 576, 346, 667, 118 is 1

2. Where do I get the detailed procedure to find GCD of 576, 346, 667, 118?

You can find a detailed procedure to find GCD of 576, 346, 667, 118 on our page.

3. How to find GCD of 576, 346, 667, 118 on a calculator?

You can find the GCD of 576, 346, 667, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.