GCD of 309, 262, 153, 359 Calculator

Given Input numbers are 309, 262, 153, 359

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 153

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

1, 3, 9, 17, 51, 153

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 309, 262, 153, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 262, 153, 359 is 1.

Therefore, GCD of numbers 309, 262, 153, 359 is 1

Given Input Data is 309, 262, 153, 359

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 262 is 2 x 131

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 359 is 359

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(309, 262) = 80958

GCD(309, 262) = ( 309 x 262 ) / 80958

GCD(309, 262) = 80958 / 80958

GCD(309, 262) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

GCD of 309, 262, 153, 359 is 1

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1. What is the GCD of 309, 262, 153, 359?

GCD of 309, 262, 153, 359 is 1

2. Where do I get the detailed procedure to find GCD of 309, 262, 153, 359?

You can find a detailed procedure to find GCD of 309, 262, 153, 359 on our page.

3. How to find GCD of 309, 262, 153, 359 on a calculator?

You can find the GCD of 309, 262, 153, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.