GCD of 958, 381, 71, 705 Calculator

Given Input numbers are 958, 381, 71, 705

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

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 958, 381, 71, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 958, 381, 71, 705 is 1.

Therefore, GCD of numbers 958, 381, 71, 705 is 1

Given Input Data is 958, 381, 71, 705

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

Prime Factorization of 958 is 2 x 479

Prime Factorization of 381 is 3 x 127

Prime Factorization of 71 is 71

Prime Factorization of 705 is 3 x 5 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(958, 381) = 364998

GCD(958, 381) = ( 958 x 381 ) / 364998

GCD(958, 381) = 364998 / 364998

GCD(958, 381) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 958, 381, 71, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 375, 427, 46, 474
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• GCD of 954, 532, 11, 595
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• GCD of 604, 390, 86, 929

1. What is the GCD of 958, 381, 71, 705?

GCD of 958, 381, 71, 705 is 1

2. Where do I get the detailed procedure to find GCD of 958, 381, 71, 705?

You can find a detailed procedure to find GCD of 958, 381, 71, 705 on our page.

3. How to find GCD of 958, 381, 71, 705 on a calculator?

You can find the GCD of 958, 381, 71, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.