GCD of 301, 674, 98, 738 Calculator

Given Input numbers are 301, 674, 98, 738

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

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 301, 674, 98, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 674, 98, 738 is 1.

Therefore, GCD of numbers 301, 674, 98, 738 is 1

Given Input Data is 301, 674, 98, 738

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 674 is 2 x 337

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(301, 674) = 202874

GCD(301, 674) = ( 301 x 674 ) / 202874

GCD(301, 674) = 202874 / 202874

GCD(301, 674) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 301, 674, 98, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 849, 24, 133
• GCD of 962, 423, 30, 507
• GCD of 276, 953, 50, 118
• GCD of 961, 109, 98, 663
• GCD of 307, 410, 17, 160

1. What is the GCD of 301, 674, 98, 738?

GCD of 301, 674, 98, 738 is 1

2. Where do I get the detailed procedure to find GCD of 301, 674, 98, 738?

You can find a detailed procedure to find GCD of 301, 674, 98, 738 on our page.

3. How to find GCD of 301, 674, 98, 738 on a calculator?

You can find the GCD of 301, 674, 98, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.