GCD of 253, 465, 992, 315 Calculator

Given Input numbers are 253, 465, 992, 315

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

Divisors of 253

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

1, 11, 23, 253

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 253, 465, 992, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 465, 992, 315 is 1.

Therefore, GCD of numbers 253, 465, 992, 315 is 1

Given Input Data is 253, 465, 992, 315

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

Prime Factorization of 253 is 11 x 23

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 315 is 3 x 3 x 5 x 7

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(253, 465) = 117645

GCD(253, 465) = ( 253 x 465 ) / 117645

GCD(253, 465) = 117645 / 117645

GCD(253, 465) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

GCD of 253, 465, 992, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 841, 117, 673, 378
• GCD of 184, 293, 901, 638
• GCD of 286, 425, 600, 286
• GCD of 180, 957, 944, 695
• GCD of 586, 301, 450, 887

1. What is the GCD of 253, 465, 992, 315?

GCD of 253, 465, 992, 315 is 1

2. Where do I get the detailed procedure to find GCD of 253, 465, 992, 315?

You can find a detailed procedure to find GCD of 253, 465, 992, 315 on our page.

3. How to find GCD of 253, 465, 992, 315 on a calculator?

You can find the GCD of 253, 465, 992, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.