GCD of 705, 914, 381, 537 Calculator

Given Input numbers are 705, 914, 381, 537

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

Divisors of 705

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

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 381

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

1, 3, 127, 381

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 705, 914, 381, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 914, 381, 537 is 1.

Therefore, GCD of numbers 705, 914, 381, 537 is 1

Given Input Data is 705, 914, 381, 537

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 914 is 2 x 457

Prime Factorization of 381 is 3 x 127

Prime Factorization of 537 is 3 x 179

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(705, 914) = 644370

GCD(705, 914) = ( 705 x 914 ) / 644370

GCD(705, 914) = 644370 / 644370

GCD(705, 914) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 537

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

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

GCD(1, 537) = 537 / 537

GCD(1, 537) = 1

GCD of 705, 914, 381, 537 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 860, 331, 234, 588
• GCD of 800, 127, 972, 449
• GCD of 378, 574, 705, 672
• GCD of 690, 820, 108, 970
• GCD of 463, 168, 991, 874

1. What is the GCD of 705, 914, 381, 537?

GCD of 705, 914, 381, 537 is 1

2. Where do I get the detailed procedure to find GCD of 705, 914, 381, 537?

You can find a detailed procedure to find GCD of 705, 914, 381, 537 on our page.

3. How to find GCD of 705, 914, 381, 537 on a calculator?

You can find the GCD of 705, 914, 381, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.