GCD of 90, 848, 708, 159 Calculator

Given Input numbers are 90, 848, 708, 159

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 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 90, 848, 708, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 848, 708, 159 is 1.

Therefore, GCD of numbers 90, 848, 708, 159 is 1

Given Input Data is 90, 848, 708, 159

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 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 159 is 3 x 53

The above numbers do not have any common prime factor. So GCD is 1

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, 848) = 38160

GCD(90, 848) = ( 90 x 848 ) / 38160

GCD(90, 848) = 76320 / 38160

GCD(90, 848) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 708

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

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

GCD(2, 708) = 1416 / 708

GCD(2, 708) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 159

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

LCM(2, 159) = 318

GCD(2, 159) = ( 2 x 159 ) / 318

GCD(2, 159) = 318 / 318

GCD(2, 159) = 1

GCD of 90, 848, 708, 159 is 1

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• GCD of 47, 552, 879, 151
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• GCD of 52, 816, 212, 414

1. What is the GCD of 90, 848, 708, 159?

GCD of 90, 848, 708, 159 is 1

2. Where do I get the detailed procedure to find GCD of 90, 848, 708, 159?

You can find a detailed procedure to find GCD of 90, 848, 708, 159 on our page.

3. How to find GCD of 90, 848, 708, 159 on a calculator?

You can find the GCD of 90, 848, 708, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.