GCD of 974, 776, 48, 216 Calculator

Given Input numbers are 974, 776, 48, 216

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 974, 776, 48, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 776, 48, 216 is 2.

Therefore, GCD of numbers 974, 776, 48, 216 is 2

Given Input Data is 974, 776, 48, 216

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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(974, 776) = 377912

GCD(974, 776) = ( 974 x 776 ) / 377912

GCD(974, 776) = 755824 / 377912

GCD(974, 776) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 216

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

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

GCD(2, 216) = 432 / 216

GCD(2, 216) = 2

GCD of 974, 776, 48, 216 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 691, 487, 22, 119
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• GCD of 506, 914, 70, 171

1. What is the GCD of 974, 776, 48, 216?

GCD of 974, 776, 48, 216 is 2

2. Where do I get the detailed procedure to find GCD of 974, 776, 48, 216?

You can find a detailed procedure to find GCD of 974, 776, 48, 216 on our page.

3. How to find GCD of 974, 776, 48, 216 on a calculator?

You can find the GCD of 974, 776, 48, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.