GCD of 98, 278, 196, 781 Calculator

Given Input numbers are 98, 278, 196, 781

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

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 278

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

1, 2, 139, 278

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 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Greatest Common Divisior

We found the divisors of 98, 278, 196, 781 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 278, 196, 781 is 1.

Therefore, GCD of numbers 98, 278, 196, 781 is 1

Given Input Data is 98, 278, 196, 781

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

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 278 is 2 x 139

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 781 is 11 x 71

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(98, 278) = 13622

GCD(98, 278) = ( 98 x 278 ) / 13622

GCD(98, 278) = 27244 / 13622

GCD(98, 278) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 196

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

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

GCD(2, 196) = 392 / 196

GCD(2, 196) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 781

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

LCM(2, 781) = 1562

GCD(2, 781) = ( 2 x 781 ) / 1562

GCD(2, 781) = 1562 / 1562

GCD(2, 781) = 1

GCD of 98, 278, 196, 781 is 1

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1. What is the GCD of 98, 278, 196, 781?

GCD of 98, 278, 196, 781 is 1

2. Where do I get the detailed procedure to find GCD of 98, 278, 196, 781?

You can find a detailed procedure to find GCD of 98, 278, 196, 781 on our page.

3. How to find GCD of 98, 278, 196, 781 on a calculator?

You can find the GCD of 98, 278, 196, 781 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.