GCD of 971, 378, 98, 282 Calculator

Given Input numbers are 971, 378, 98, 282

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

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 971, 378, 98, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 378, 98, 282 is 1.

Therefore, GCD of numbers 971, 378, 98, 282 is 1

Given Input Data is 971, 378, 98, 282

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

Prime Factorization of 971 is 971

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 282 is 2 x 3 x 47

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(971, 378) = 367038

GCD(971, 378) = ( 971 x 378 ) / 367038

GCD(971, 378) = 367038 / 367038

GCD(971, 378) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 282

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

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

GCD(1, 282) = 282 / 282

GCD(1, 282) = 1

GCD of 971, 378, 98, 282 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 908, 97, 768
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• GCD of 958, 946, 92, 972

1. What is the GCD of 971, 378, 98, 282?

GCD of 971, 378, 98, 282 is 1

2. Where do I get the detailed procedure to find GCD of 971, 378, 98, 282?

You can find a detailed procedure to find GCD of 971, 378, 98, 282 on our page.

3. How to find GCD of 971, 378, 98, 282 on a calculator?

You can find the GCD of 971, 378, 98, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.