GCD of 16, 454, 262, 978 Calculator

Given Input numbers are 16, 454, 262, 978

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

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Greatest Common Divisior

We found the divisors of 16, 454, 262, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 454, 262, 978 is 2.

Therefore, GCD of numbers 16, 454, 262, 978 is 2

Given Input Data is 16, 454, 262, 978

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

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 262 is 2 x 131

Prime Factorization of 978 is 2 x 3 x 163

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(16, 454) = 3632

GCD(16, 454) = ( 16 x 454 ) / 3632

GCD(16, 454) = 7264 / 3632

GCD(16, 454) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 262

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

LCM(2, 262) = 262

GCD(2, 262) = ( 2 x 262 ) / 262

GCD(2, 262) = 524 / 262

GCD(2, 262) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 978

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

LCM(2, 978) = 978

GCD(2, 978) = ( 2 x 978 ) / 978

GCD(2, 978) = 1956 / 978

GCD(2, 978) = 2

GCD of 16, 454, 262, 978 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 147, 210, 180
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1. What is the GCD of 16, 454, 262, 978?

GCD of 16, 454, 262, 978 is 2

2. Where do I get the detailed procedure to find GCD of 16, 454, 262, 978?

You can find a detailed procedure to find GCD of 16, 454, 262, 978 on our page.

3. How to find GCD of 16, 454, 262, 978 on a calculator?

You can find the GCD of 16, 454, 262, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.