GCD of 458, 374, 59, 981 Calculator

Given Input numbers are 458, 374, 59, 981

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

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Greatest Common Divisior

We found the divisors of 458, 374, 59, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 374, 59, 981 is 1.

Therefore, GCD of numbers 458, 374, 59, 981 is 1

Given Input Data is 458, 374, 59, 981

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 59 is 59

Prime Factorization of 981 is 3 x 3 x 109

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(458, 374) = 85646

GCD(458, 374) = ( 458 x 374 ) / 85646

GCD(458, 374) = 171292 / 85646

GCD(458, 374) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 981

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

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

GCD(1, 981) = 981 / 981

GCD(1, 981) = 1

GCD of 458, 374, 59, 981 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 155, 538, 60, 846
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• GCD of 930, 288, 48, 730
• GCD of 195, 881, 75, 787
• GCD of 606, 976, 79, 734

1. What is the GCD of 458, 374, 59, 981?

GCD of 458, 374, 59, 981 is 1

2. Where do I get the detailed procedure to find GCD of 458, 374, 59, 981?

You can find a detailed procedure to find GCD of 458, 374, 59, 981 on our page.

3. How to find GCD of 458, 374, 59, 981 on a calculator?

You can find the GCD of 458, 374, 59, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.