GCD of 348, 740, 823, 253 Calculator

Given Input numbers are 348, 740, 823, 253

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 348, 740, 823, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 740, 823, 253 is 1.

Therefore, GCD of numbers 348, 740, 823, 253 is 1

Given Input Data is 348, 740, 823, 253

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 823 is 823

Prime Factorization of 253 is 11 x 23

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(348, 740) = 64380

GCD(348, 740) = ( 348 x 740 ) / 64380

GCD(348, 740) = 257520 / 64380

GCD(348, 740) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 823

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

LCM(4, 823) = 3292

GCD(4, 823) = ( 4 x 823 ) / 3292

GCD(4, 823) = 3292 / 3292

GCD(4, 823) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 348, 740, 823, 253 is 1

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1. What is the GCD of 348, 740, 823, 253?

GCD of 348, 740, 823, 253 is 1

2. Where do I get the detailed procedure to find GCD of 348, 740, 823, 253?

You can find a detailed procedure to find GCD of 348, 740, 823, 253 on our page.

3. How to find GCD of 348, 740, 823, 253 on a calculator?

You can find the GCD of 348, 740, 823, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.