GCD of 737, 614, 141, 509 Calculator

Given Input numbers are 737, 614, 141, 509

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

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 141

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

1, 3, 47, 141

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 737, 614, 141, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 737, 614, 141, 509 is 1.

Therefore, GCD of numbers 737, 614, 141, 509 is 1

Given Input Data is 737, 614, 141, 509

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

Prime Factorization of 737 is 11 x 67

Prime Factorization of 614 is 2 x 307

Prime Factorization of 141 is 3 x 47

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(737, 614) = 452518

GCD(737, 614) = ( 737 x 614 ) / 452518

GCD(737, 614) = 452518 / 452518

GCD(737, 614) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 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 737, 614, 141, 509 is 1

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1. What is the GCD of 737, 614, 141, 509?

GCD of 737, 614, 141, 509 is 1

2. Where do I get the detailed procedure to find GCD of 737, 614, 141, 509?

You can find a detailed procedure to find GCD of 737, 614, 141, 509 on our page.

3. How to find GCD of 737, 614, 141, 509 on a calculator?

You can find the GCD of 737, 614, 141, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.