GCD of 496, 538, 966, 370 Calculator

Given Input numbers are 496, 538, 966, 370

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 496, 538, 966, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 538, 966, 370 is 2.

Therefore, GCD of numbers 496, 538, 966, 370 is 2

Given Input Data is 496, 538, 966, 370

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 538 is 2 x 269

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 370 is 2 x 5 x 37

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(496, 538) = 133424

GCD(496, 538) = ( 496 x 538 ) / 133424

GCD(496, 538) = 266848 / 133424

GCD(496, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 966

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

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

GCD(2, 966) = 1932 / 966

GCD(2, 966) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 370

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

LCM(2, 370) = 370

GCD(2, 370) = ( 2 x 370 ) / 370

GCD(2, 370) = 740 / 370

GCD(2, 370) = 2

GCD of 496, 538, 966, 370 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 229, 887, 284, 185
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• GCD of 866, 997, 606, 448
• GCD of 809, 745, 344, 487
• GCD of 722, 607, 107, 564

1. What is the GCD of 496, 538, 966, 370?

GCD of 496, 538, 966, 370 is 2

2. Where do I get the detailed procedure to find GCD of 496, 538, 966, 370?

You can find a detailed procedure to find GCD of 496, 538, 966, 370 on our page.

3. How to find GCD of 496, 538, 966, 370 on a calculator?

You can find the GCD of 496, 538, 966, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.