GCD of 544, 704, 936, 202 Calculator

Given Input numbers are 544, 704, 936, 202

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

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 544, 704, 936, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 544, 704, 936, 202 is 2.

Therefore, GCD of numbers 544, 704, 936, 202 is 2

Given Input Data is 544, 704, 936, 202

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

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 202 is 2 x 101

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(544, 704) = 11968

GCD(544, 704) = ( 544 x 704 ) / 11968

GCD(544, 704) = 382976 / 11968

GCD(544, 704) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 936

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

LCM(32, 936) = 3744

GCD(32, 936) = ( 32 x 936 ) / 3744

GCD(32, 936) = 29952 / 3744

GCD(32, 936) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 202

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

LCM(8, 202) = 808

GCD(8, 202) = ( 8 x 202 ) / 808

GCD(8, 202) = 1616 / 808

GCD(8, 202) = 2

GCD of 544, 704, 936, 202 is 2

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1. What is the GCD of 544, 704, 936, 202?

GCD of 544, 704, 936, 202 is 2

2. Where do I get the detailed procedure to find GCD of 544, 704, 936, 202?

You can find a detailed procedure to find GCD of 544, 704, 936, 202 on our page.

3. How to find GCD of 544, 704, 936, 202 on a calculator?

You can find the GCD of 544, 704, 936, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.