GCD of 90, 236, 288, 980 Calculator

Given Input numbers are 90, 236, 288, 980

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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

Greatest Common Divisior

We found the divisors of 90, 236, 288, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 236, 288, 980 is 2.

Therefore, GCD of numbers 90, 236, 288, 980 is 2

Given Input Data is 90, 236, 288, 980

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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

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(90, 236) = 10620

GCD(90, 236) = ( 90 x 236 ) / 10620

GCD(90, 236) = 21240 / 10620

GCD(90, 236) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 288

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

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

GCD(2, 288) = 576 / 288

GCD(2, 288) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 980

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

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

GCD(2, 980) = 1960 / 980

GCD(2, 980) = 2

GCD of 90, 236, 288, 980 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 648, 691, 177
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• GCD of 51, 308, 525, 514

1. What is the GCD of 90, 236, 288, 980?

GCD of 90, 236, 288, 980 is 2

2. Where do I get the detailed procedure to find GCD of 90, 236, 288, 980?

You can find a detailed procedure to find GCD of 90, 236, 288, 980 on our page.

3. How to find GCD of 90, 236, 288, 980 on a calculator?

You can find the GCD of 90, 236, 288, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.