GCD of 98, 936, 140, 410 Calculator

Given Input numbers are 98, 936, 140, 410

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 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Greatest Common Divisior

We found the divisors of 98, 936, 140, 410 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 936, 140, 410 is 2.

Therefore, GCD of numbers 98, 936, 140, 410 is 2

Given Input Data is 98, 936, 140, 410

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 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 410 is 2 x 5 x 41

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, 936) = 45864

GCD(98, 936) = ( 98 x 936 ) / 45864

GCD(98, 936) = 91728 / 45864

GCD(98, 936) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 140

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

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

GCD(2, 140) = 280 / 140

GCD(2, 140) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 410

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

LCM(2, 410) = 410

GCD(2, 410) = ( 2 x 410 ) / 410

GCD(2, 410) = 820 / 410

GCD(2, 410) = 2

GCD of 98, 936, 140, 410 is 2

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1. What is the GCD of 98, 936, 140, 410?

GCD of 98, 936, 140, 410 is 2

2. Where do I get the detailed procedure to find GCD of 98, 936, 140, 410?

You can find a detailed procedure to find GCD of 98, 936, 140, 410 on our page.

3. How to find GCD of 98, 936, 140, 410 on a calculator?

You can find the GCD of 98, 936, 140, 410 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.