GCD of 630, 267, 496, 103 Calculator

Given Input numbers are 630, 267, 496, 103

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

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 267

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

1, 3, 89, 267

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

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

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 630, 267, 496, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 267, 496, 103 is 1.

Therefore, GCD of numbers 630, 267, 496, 103 is 1

Given Input Data is 630, 267, 496, 103

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

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 267 is 3 x 89

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 103 is 103

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(630, 267) = 56070

GCD(630, 267) = ( 630 x 267 ) / 56070

GCD(630, 267) = 168210 / 56070

GCD(630, 267) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 496

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

LCM(3, 496) = 1488

GCD(3, 496) = ( 3 x 496 ) / 1488

GCD(3, 496) = 1488 / 1488

GCD(3, 496) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 103

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

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

GCD(1, 103) = 103 / 103

GCD(1, 103) = 1

GCD of 630, 267, 496, 103 is 1

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1. What is the GCD of 630, 267, 496, 103?

GCD of 630, 267, 496, 103 is 1

2. Where do I get the detailed procedure to find GCD of 630, 267, 496, 103?

You can find a detailed procedure to find GCD of 630, 267, 496, 103 on our page.

3. How to find GCD of 630, 267, 496, 103 on a calculator?

You can find the GCD of 630, 267, 496, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.