GCD of 745, 641, 49, 509 Calculator

Given Input numbers are 745, 641, 49, 509

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

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 745, 641, 49, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 641, 49, 509 is 1.

Therefore, GCD of numbers 745, 641, 49, 509 is 1

Given Input Data is 745, 641, 49, 509

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 641 is 641

Prime Factorization of 49 is 7 x 7

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(745, 641) = 477545

GCD(745, 641) = ( 745 x 641 ) / 477545

GCD(745, 641) = 477545 / 477545

GCD(745, 641) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 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 745, 641, 49, 509 is 1

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• GCD of 364, 509, 99, 537
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1. What is the GCD of 745, 641, 49, 509?

GCD of 745, 641, 49, 509 is 1

2. Where do I get the detailed procedure to find GCD of 745, 641, 49, 509?

You can find a detailed procedure to find GCD of 745, 641, 49, 509 on our page.

3. How to find GCD of 745, 641, 49, 509 on a calculator?

You can find the GCD of 745, 641, 49, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.