GCD of 705, 157, 714, 511 Calculator

Given Input numbers are 705, 157, 714, 511

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 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Greatest Common Divisior

We found the divisors of 705, 157, 714, 511 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 157, 714, 511 is 1.

Therefore, GCD of numbers 705, 157, 714, 511 is 1

Given Input Data is 705, 157, 714, 511

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 157 is 157

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 511 is 7 x 73

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, 157) = 110685

GCD(705, 157) = ( 705 x 157 ) / 110685

GCD(705, 157) = 110685 / 110685

GCD(705, 157) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 511

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

LCM(1, 511) = 511

GCD(1, 511) = ( 1 x 511 ) / 511

GCD(1, 511) = 511 / 511

GCD(1, 511) = 1

GCD of 705, 157, 714, 511 is 1

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1. What is the GCD of 705, 157, 714, 511?

GCD of 705, 157, 714, 511 is 1

2. Where do I get the detailed procedure to find GCD of 705, 157, 714, 511?

You can find a detailed procedure to find GCD of 705, 157, 714, 511 on our page.

3. How to find GCD of 705, 157, 714, 511 on a calculator?

You can find the GCD of 705, 157, 714, 511 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.