GCD of 658, 525, 54, 352 Calculator

Given Input numbers are 658, 525, 54, 352

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

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

Greatest Common Divisior

We found the divisors of 658, 525, 54, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 525, 54, 352 is 1.

Therefore, GCD of numbers 658, 525, 54, 352 is 1

Given Input Data is 658, 525, 54, 352

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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(658, 525) = 49350

GCD(658, 525) = ( 658 x 525 ) / 49350

GCD(658, 525) = 345450 / 49350

GCD(658, 525) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 54

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

LCM(7, 54) = 378

GCD(7, 54) = ( 7 x 54 ) / 378

GCD(7, 54) = 378 / 378

GCD(7, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

GCD of 658, 525, 54, 352 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 561, 366, 98, 563
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• GCD of 245, 449, 28, 284
• GCD of 743, 670, 25, 901
• GCD of 775, 962, 49, 710

1. What is the GCD of 658, 525, 54, 352?

GCD of 658, 525, 54, 352 is 1

2. Where do I get the detailed procedure to find GCD of 658, 525, 54, 352?

You can find a detailed procedure to find GCD of 658, 525, 54, 352 on our page.

3. How to find GCD of 658, 525, 54, 352 on a calculator?

You can find the GCD of 658, 525, 54, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.