GCD of 98, 434, 632, 378 Calculator

Given Input numbers are 98, 434, 632, 378

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

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 632

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

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 98, 434, 632, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 434, 632, 378 is 2.

Therefore, GCD of numbers 98, 434, 632, 378 is 2

Given Input Data is 98, 434, 632, 378

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

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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(98, 434) = 3038

GCD(98, 434) = ( 98 x 434 ) / 3038

GCD(98, 434) = 42532 / 3038

GCD(98, 434) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 632

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

LCM(14, 632) = 4424

GCD(14, 632) = ( 14 x 632 ) / 4424

GCD(14, 632) = 8848 / 4424

GCD(14, 632) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 378

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

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

GCD(2, 378) = 756 / 378

GCD(2, 378) = 2

GCD of 98, 434, 632, 378 is 2

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• GCD of 52, 510, 762, 836
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• GCD of 45, 681, 815, 339

1. What is the GCD of 98, 434, 632, 378?

GCD of 98, 434, 632, 378 is 2

2. Where do I get the detailed procedure to find GCD of 98, 434, 632, 378?

You can find a detailed procedure to find GCD of 98, 434, 632, 378 on our page.

3. How to find GCD of 98, 434, 632, 378 on a calculator?

You can find the GCD of 98, 434, 632, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.