GCD of 462, 464, 98, 372 Calculator

Given Input numbers are 462, 464, 98, 372

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Greatest Common Divisior

We found the divisors of 462, 464, 98, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 464, 98, 372 is 2.

Therefore, GCD of numbers 462, 464, 98, 372 is 2

Given Input Data is 462, 464, 98, 372

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 372 is 2 x 2 x 3 x 31

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(462, 464) = 107184

GCD(462, 464) = ( 462 x 464 ) / 107184

GCD(462, 464) = 214368 / 107184

GCD(462, 464) = 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 372

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

LCM(2, 372) = 372

GCD(2, 372) = ( 2 x 372 ) / 372

GCD(2, 372) = 744 / 372

GCD(2, 372) = 2

GCD of 462, 464, 98, 372 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 709, 99, 983
• GCD of 373, 742, 15, 290
• GCD of 251, 266, 27, 357
• GCD of 412, 863, 47, 445
• GCD of 936, 648, 12, 855

1. What is the GCD of 462, 464, 98, 372?

GCD of 462, 464, 98, 372 is 2

2. Where do I get the detailed procedure to find GCD of 462, 464, 98, 372?

You can find a detailed procedure to find GCD of 462, 464, 98, 372 on our page.

3. How to find GCD of 462, 464, 98, 372 on a calculator?

You can find the GCD of 462, 464, 98, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.