GCD of 980, 352, 16, 252 Calculator

Given Input numbers are 980, 352, 16, 252

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

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Greatest Common Divisior

We found the divisors of 980, 352, 16, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 352, 16, 252 is 4.

Therefore, GCD of numbers 980, 352, 16, 252 is 4

Given Input Data is 980, 352, 16, 252

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

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(980, 352) = 86240

GCD(980, 352) = ( 980 x 352 ) / 86240

GCD(980, 352) = 344960 / 86240

GCD(980, 352) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 16

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

LCM(4, 16) = 16

GCD(4, 16) = ( 4 x 16 ) / 16

GCD(4, 16) = 64 / 16

GCD(4, 16) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 252

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

LCM(4, 252) = 252

GCD(4, 252) = ( 4 x 252 ) / 252

GCD(4, 252) = 1008 / 252

GCD(4, 252) = 4

GCD of 980, 352, 16, 252 is 4

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1. What is the GCD of 980, 352, 16, 252?

GCD of 980, 352, 16, 252 is 4

2. Where do I get the detailed procedure to find GCD of 980, 352, 16, 252?

You can find a detailed procedure to find GCD of 980, 352, 16, 252 on our page.

3. How to find GCD of 980, 352, 16, 252 on a calculator?

You can find the GCD of 980, 352, 16, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.