GCD of 354, 298, 10, 632 Calculator

Given Input numbers are 354, 298, 10, 632

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 298

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

1, 2, 149, 298

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 354, 298, 10, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 298, 10, 632 is 2.

Therefore, GCD of numbers 354, 298, 10, 632 is 2

Given Input Data is 354, 298, 10, 632

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 298 is 2 x 149

Prime Factorization of 10 is 2 x 5

Prime Factorization of 632 is 2 x 2 x 2 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(354, 298) = 52746

GCD(354, 298) = ( 354 x 298 ) / 52746

GCD(354, 298) = 105492 / 52746

GCD(354, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 632

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

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

GCD(2, 632) = 1264 / 632

GCD(2, 632) = 2

GCD of 354, 298, 10, 632 is 2

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1. What is the GCD of 354, 298, 10, 632?

GCD of 354, 298, 10, 632 is 2

2. Where do I get the detailed procedure to find GCD of 354, 298, 10, 632?

You can find a detailed procedure to find GCD of 354, 298, 10, 632 on our page.

3. How to find GCD of 354, 298, 10, 632 on a calculator?

You can find the GCD of 354, 298, 10, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.