GCD of 705, 147, 37, 509 Calculator

Given Input numbers are 705, 147, 37, 509

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 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 705, 147, 37, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 147, 37, 509 is 1.

Therefore, GCD of numbers 705, 147, 37, 509 is 1

Given Input Data is 705, 147, 37, 509

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 147 is 3 x 7 x 7

Prime Factorization of 37 is 37

Prime Factorization of 509 is 509

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, 147) = 34545

GCD(705, 147) = ( 705 x 147 ) / 34545

GCD(705, 147) = 103635 / 34545

GCD(705, 147) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 37

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

LCM(3, 37) = 111

GCD(3, 37) = ( 3 x 37 ) / 111

GCD(3, 37) = 111 / 111

GCD(3, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 705, 147, 37, 509 is 1

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• GCD of 581, 315, 11, 742
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• GCD of 224, 267, 85, 576

1. What is the GCD of 705, 147, 37, 509?

GCD of 705, 147, 37, 509 is 1

2. Where do I get the detailed procedure to find GCD of 705, 147, 37, 509?

You can find a detailed procedure to find GCD of 705, 147, 37, 509 on our page.

3. How to find GCD of 705, 147, 37, 509 on a calculator?

You can find the GCD of 705, 147, 37, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.