GCD of 251, 496, 70, 824 Calculator

Given Input numbers are 251, 496, 70, 824

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

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

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 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 251, 496, 70, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 251, 496, 70, 824 is 1.

Therefore, GCD of numbers 251, 496, 70, 824 is 1

Given Input Data is 251, 496, 70, 824

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

Prime Factorization of 251 is 251

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

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 824 is 2 x 2 x 2 x 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(251, 496) = 124496

GCD(251, 496) = ( 251 x 496 ) / 124496

GCD(251, 496) = 124496 / 124496

GCD(251, 496) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 251, 496, 70, 824 is 1

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• GCD of 357, 979, 33, 705
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• GCD of 933, 492, 37, 466

1. What is the GCD of 251, 496, 70, 824?

GCD of 251, 496, 70, 824 is 1

2. Where do I get the detailed procedure to find GCD of 251, 496, 70, 824?

You can find a detailed procedure to find GCD of 251, 496, 70, 824 on our page.

3. How to find GCD of 251, 496, 70, 824 on a calculator?

You can find the GCD of 251, 496, 70, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.