GCD of 676, 141, 414, 705 Calculator

Given Input numbers are 676, 141, 414, 705

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 676, 141, 414, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 141, 414, 705 is 1.

Therefore, GCD of numbers 676, 141, 414, 705 is 1

Given Input Data is 676, 141, 414, 705

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 141 is 3 x 47

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(676, 141) = 95316

GCD(676, 141) = ( 676 x 141 ) / 95316

GCD(676, 141) = 95316 / 95316

GCD(676, 141) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 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 676, 141, 414, 705 is 1

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• GCD of 829, 473, 531, 838
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1. What is the GCD of 676, 141, 414, 705?

GCD of 676, 141, 414, 705 is 1

2. Where do I get the detailed procedure to find GCD of 676, 141, 414, 705?

You can find a detailed procedure to find GCD of 676, 141, 414, 705 on our page.

3. How to find GCD of 676, 141, 414, 705 on a calculator?

You can find the GCD of 676, 141, 414, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.