GCD of 402, 496, 76, 749 Calculator

Given Input numbers are 402, 496, 76, 749

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

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 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 402, 496, 76, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 496, 76, 749 is 1.

Therefore, GCD of numbers 402, 496, 76, 749 is 1

Given Input Data is 402, 496, 76, 749

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

Prime Factorization of 402 is 2 x 3 x 67

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 749 is 7 x 107

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(402, 496) = 99696

GCD(402, 496) = ( 402 x 496 ) / 99696

GCD(402, 496) = 199392 / 99696

GCD(402, 496) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 749

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

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

GCD(2, 749) = 1498 / 1498

GCD(2, 749) = 1

GCD of 402, 496, 76, 749 is 1

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• GCD of 536, 522, 12, 684
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• GCD of 748, 468, 42, 609

1. What is the GCD of 402, 496, 76, 749?

GCD of 402, 496, 76, 749 is 1

2. Where do I get the detailed procedure to find GCD of 402, 496, 76, 749?

You can find a detailed procedure to find GCD of 402, 496, 76, 749 on our page.

3. How to find GCD of 402, 496, 76, 749 on a calculator?

You can find the GCD of 402, 496, 76, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.