GCD of 232, 478, 98, 746 Calculator

Given Input numbers are 232, 478, 98, 746

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

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 232, 478, 98, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 478, 98, 746 is 2.

Therefore, GCD of numbers 232, 478, 98, 746 is 2

Given Input Data is 232, 478, 98, 746

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 478 is 2 x 239

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 746 is 2 x 373

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(232, 478) = 55448

GCD(232, 478) = ( 232 x 478 ) / 55448

GCD(232, 478) = 110896 / 55448

GCD(232, 478) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 746

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

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

GCD(2, 746) = 1492 / 746

GCD(2, 746) = 2

GCD of 232, 478, 98, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 593, 61, 148
• GCD of 903, 904, 76, 852
• GCD of 170, 744, 42, 808
• GCD of 320, 758, 25, 868
• GCD of 169, 239, 19, 456

1. What is the GCD of 232, 478, 98, 746?

GCD of 232, 478, 98, 746 is 2

2. Where do I get the detailed procedure to find GCD of 232, 478, 98, 746?

You can find a detailed procedure to find GCD of 232, 478, 98, 746 on our page.

3. How to find GCD of 232, 478, 98, 746 on a calculator?

You can find the GCD of 232, 478, 98, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.