GCD of 544, 772, 846, 848 Calculator

Given Input numbers are 544, 772, 846, 848

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 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Greatest Common Divisior

We found the divisors of 544, 772, 846, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 544, 772, 846, 848 is 2.

Therefore, GCD of numbers 544, 772, 846, 848 is 2

Given Input Data is 544, 772, 846, 848

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 772 is 2 x 2 x 193

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

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, 772) = 104992

GCD(544, 772) = ( 544 x 772 ) / 104992

GCD(544, 772) = 419968 / 104992

GCD(544, 772) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 846

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

LCM(4, 846) = 1692

GCD(4, 846) = ( 4 x 846 ) / 1692

GCD(4, 846) = 3384 / 1692

GCD(4, 846) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 848

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

LCM(2, 848) = 848

GCD(2, 848) = ( 2 x 848 ) / 848

GCD(2, 848) = 1696 / 848

GCD(2, 848) = 2

GCD of 544, 772, 846, 848 is 2

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• GCD of 493, 274, 147, 555

1. What is the GCD of 544, 772, 846, 848?

GCD of 544, 772, 846, 848 is 2

2. Where do I get the detailed procedure to find GCD of 544, 772, 846, 848?

You can find a detailed procedure to find GCD of 544, 772, 846, 848 on our page.

3. How to find GCD of 544, 772, 846, 848 on a calculator?

You can find the GCD of 544, 772, 846, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.