GCD of 294, 356, 504, 265 Calculator

Given Input numbers are 294, 356, 504, 265

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 294, 356, 504, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 356, 504, 265 is 1.

Therefore, GCD of numbers 294, 356, 504, 265 is 1

Given Input Data is 294, 356, 504, 265

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 265 is 5 x 53

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(294, 356) = 52332

GCD(294, 356) = ( 294 x 356 ) / 52332

GCD(294, 356) = 104664 / 52332

GCD(294, 356) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 504

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

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

GCD(2, 504) = 1008 / 504

GCD(2, 504) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 265

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

LCM(2, 265) = 530

GCD(2, 265) = ( 2 x 265 ) / 530

GCD(2, 265) = 530 / 530

GCD(2, 265) = 1

GCD of 294, 356, 504, 265 is 1

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• GCD of 227, 517, 135, 270
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• GCD of 810, 364, 939, 454

1. What is the GCD of 294, 356, 504, 265?

GCD of 294, 356, 504, 265 is 1

2. Where do I get the detailed procedure to find GCD of 294, 356, 504, 265?

You can find a detailed procedure to find GCD of 294, 356, 504, 265 on our page.

3. How to find GCD of 294, 356, 504, 265 on a calculator?

You can find the GCD of 294, 356, 504, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.