GCD of 134, 402, 298, 747 Calculator

Given Input numbers are 134, 402, 298, 747

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

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

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 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 134, 402, 298, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 402, 298, 747 is 1.

Therefore, GCD of numbers 134, 402, 298, 747 is 1

Given Input Data is 134, 402, 298, 747

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

Prime Factorization of 134 is 2 x 67

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 298 is 2 x 149

Prime Factorization of 747 is 3 x 3 x 83

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(134, 402) = 402

GCD(134, 402) = ( 134 x 402 ) / 402

GCD(134, 402) = 53868 / 402

GCD(134, 402) = 134

Step2:

Here we consider the GCD from the above i.e. 134 as first number and the next as 298

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

LCM(134, 298) = 19966

GCD(134, 298) = ( 134 x 298 ) / 19966

GCD(134, 298) = 39932 / 19966

GCD(134, 298) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 747

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

LCM(2, 747) = 1494

GCD(2, 747) = ( 2 x 747 ) / 1494

GCD(2, 747) = 1494 / 1494

GCD(2, 747) = 1

GCD of 134, 402, 298, 747 is 1

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1. What is the GCD of 134, 402, 298, 747?

GCD of 134, 402, 298, 747 is 1

2. Where do I get the detailed procedure to find GCD of 134, 402, 298, 747?

You can find a detailed procedure to find GCD of 134, 402, 298, 747 on our page.

3. How to find GCD of 134, 402, 298, 747 on a calculator?

You can find the GCD of 134, 402, 298, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.