GCD of 267, 553, 848, 301 Calculator

Given Input numbers are 267, 553, 848, 301

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

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 267, 553, 848, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 553, 848, 301 is 1.

Therefore, GCD of numbers 267, 553, 848, 301 is 1

Given Input Data is 267, 553, 848, 301

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 553 is 7 x 79

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 301 is 7 x 43

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(267, 553) = 147651

GCD(267, 553) = ( 267 x 553 ) / 147651

GCD(267, 553) = 147651 / 147651

GCD(267, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 848

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

LCM(1, 848) = 848

GCD(1, 848) = ( 1 x 848 ) / 848

GCD(1, 848) = 848 / 848

GCD(1, 848) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

GCD of 267, 553, 848, 301 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 950, 176, 902
• GCD of 908, 788, 144, 228
• GCD of 442, 368, 631, 208
• GCD of 261, 801, 428, 653
• GCD of 671, 499, 136, 441

1. What is the GCD of 267, 553, 848, 301?

GCD of 267, 553, 848, 301 is 1

2. Where do I get the detailed procedure to find GCD of 267, 553, 848, 301?

You can find a detailed procedure to find GCD of 267, 553, 848, 301 on our page.

3. How to find GCD of 267, 553, 848, 301 on a calculator?

You can find the GCD of 267, 553, 848, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.