GCD of 464, 376, 102, 474 Calculator

Given Input numbers are 464, 376, 102, 474

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

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 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 464, 376, 102, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 376, 102, 474 is 2.

Therefore, GCD of numbers 464, 376, 102, 474 is 2

Given Input Data is 464, 376, 102, 474

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

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

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 474 is 2 x 3 x 79

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(464, 376) = 21808

GCD(464, 376) = ( 464 x 376 ) / 21808

GCD(464, 376) = 174464 / 21808

GCD(464, 376) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 102

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

LCM(8, 102) = 408

GCD(8, 102) = ( 8 x 102 ) / 408

GCD(8, 102) = 816 / 408

GCD(8, 102) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 474

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

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

GCD(2, 474) = 948 / 474

GCD(2, 474) = 2

GCD of 464, 376, 102, 474 is 2

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1. What is the GCD of 464, 376, 102, 474?

GCD of 464, 376, 102, 474 is 2

2. Where do I get the detailed procedure to find GCD of 464, 376, 102, 474?

You can find a detailed procedure to find GCD of 464, 376, 102, 474 on our page.

3. How to find GCD of 464, 376, 102, 474 on a calculator?

You can find the GCD of 464, 376, 102, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.