GCD of 968, 928, 16, 370 Calculator

Given Input numbers are 968, 928, 16, 370

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

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

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 968, 928, 16, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 928, 16, 370 is 2.

Therefore, GCD of numbers 968, 928, 16, 370 is 2

Given Input Data is 968, 928, 16, 370

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

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 16 is 2 x 2 x 2 x 2

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(968, 928) = 112288

GCD(968, 928) = ( 968 x 928 ) / 112288

GCD(968, 928) = 898304 / 112288

GCD(968, 928) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 16

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

LCM(8, 16) = 16

GCD(8, 16) = ( 8 x 16 ) / 16

GCD(8, 16) = 128 / 16

GCD(8, 16) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 370

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

LCM(8, 370) = 1480

GCD(8, 370) = ( 8 x 370 ) / 1480

GCD(8, 370) = 2960 / 1480

GCD(8, 370) = 2

GCD of 968, 928, 16, 370 is 2

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1. What is the GCD of 968, 928, 16, 370?

GCD of 968, 928, 16, 370 is 2

2. Where do I get the detailed procedure to find GCD of 968, 928, 16, 370?

You can find a detailed procedure to find GCD of 968, 928, 16, 370 on our page.

3. How to find GCD of 968, 928, 16, 370 on a calculator?

You can find the GCD of 968, 928, 16, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.