GCD of 153, 263, 77, 849 Calculator

Given Input numbers are 153, 263, 77, 849

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

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 153, 263, 77, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 263, 77, 849 is 1.

Therefore, GCD of numbers 153, 263, 77, 849 is 1

Given Input Data is 153, 263, 77, 849

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 263 is 263

Prime Factorization of 77 is 7 x 11

Prime Factorization of 849 is 3 x 283

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(153, 263) = 40239

GCD(153, 263) = ( 153 x 263 ) / 40239

GCD(153, 263) = 40239 / 40239

GCD(153, 263) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 153, 263, 77, 849 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 314, 984, 36, 118
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• GCD of 322, 584, 68, 650

1. What is the GCD of 153, 263, 77, 849?

GCD of 153, 263, 77, 849 is 1

2. Where do I get the detailed procedure to find GCD of 153, 263, 77, 849?

You can find a detailed procedure to find GCD of 153, 263, 77, 849 on our page.

3. How to find GCD of 153, 263, 77, 849 on a calculator?

You can find the GCD of 153, 263, 77, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.