GCD of 90, 984, 148, 359 Calculator

Given Input numbers are 90, 984, 148, 359

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 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 90, 984, 148, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 984, 148, 359 is 1.

Therefore, GCD of numbers 90, 984, 148, 359 is 1

Given Input Data is 90, 984, 148, 359

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 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 359 is 359

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, 984) = 14760

GCD(90, 984) = ( 90 x 984 ) / 14760

GCD(90, 984) = 88560 / 14760

GCD(90, 984) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 148

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

LCM(6, 148) = 444

GCD(6, 148) = ( 6 x 148 ) / 444

GCD(6, 148) = 888 / 444

GCD(6, 148) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 359

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

LCM(2, 359) = 718

GCD(2, 359) = ( 2 x 359 ) / 718

GCD(2, 359) = 718 / 718

GCD(2, 359) = 1

GCD of 90, 984, 148, 359 is 1

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• GCD of 15, 874, 825, 628
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• GCD of 16, 798, 671, 110

1. What is the GCD of 90, 984, 148, 359?

GCD of 90, 984, 148, 359 is 1

2. Where do I get the detailed procedure to find GCD of 90, 984, 148, 359?

You can find a detailed procedure to find GCD of 90, 984, 148, 359 on our page.

3. How to find GCD of 90, 984, 148, 359 on a calculator?

You can find the GCD of 90, 984, 148, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.