GCD of 268, 998, 423, 762 Calculator

Given Input numbers are 268, 998, 423, 762

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 268, 998, 423, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 998, 423, 762 is 1.

Therefore, GCD of numbers 268, 998, 423, 762 is 1

Given Input Data is 268, 998, 423, 762

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 998 is 2 x 499

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 762 is 2 x 3 x 127

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(268, 998) = 133732

GCD(268, 998) = ( 268 x 998 ) / 133732

GCD(268, 998) = 267464 / 133732

GCD(268, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 423

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

LCM(2, 423) = 846

GCD(2, 423) = ( 2 x 423 ) / 846

GCD(2, 423) = 846 / 846

GCD(2, 423) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1

GCD of 268, 998, 423, 762 is 1

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• GCD of 646, 708, 450, 257
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• GCD of 352, 964, 974, 248

1. What is the GCD of 268, 998, 423, 762?

GCD of 268, 998, 423, 762 is 1

2. Where do I get the detailed procedure to find GCD of 268, 998, 423, 762?

You can find a detailed procedure to find GCD of 268, 998, 423, 762 on our page.

3. How to find GCD of 268, 998, 423, 762 on a calculator?

You can find the GCD of 268, 998, 423, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.