GCD of 90, 196, 861, 278 Calculator

Given Input numbers are 90, 196, 861, 278

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 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 90, 196, 861, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 196, 861, 278 is 1.

Therefore, GCD of numbers 90, 196, 861, 278 is 1

Given Input Data is 90, 196, 861, 278

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 196 is 2 x 2 x 7 x 7

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 278 is 2 x 139

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, 196) = 8820

GCD(90, 196) = ( 90 x 196 ) / 8820

GCD(90, 196) = 17640 / 8820

GCD(90, 196) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 861

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

LCM(2, 861) = 1722

GCD(2, 861) = ( 2 x 861 ) / 1722

GCD(2, 861) = 1722 / 1722

GCD(2, 861) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 90, 196, 861, 278 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 883, 595, 110
• GCD of 24, 245, 297, 905
• GCD of 53, 946, 403, 144
• GCD of 30, 912, 357, 659
• GCD of 32, 730, 236, 394

1. What is the GCD of 90, 196, 861, 278?

GCD of 90, 196, 861, 278 is 1

2. Where do I get the detailed procedure to find GCD of 90, 196, 861, 278?

You can find a detailed procedure to find GCD of 90, 196, 861, 278 on our page.

3. How to find GCD of 90, 196, 861, 278 on a calculator?

You can find the GCD of 90, 196, 861, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.