GCD of 737, 759, 325, 498 Calculator

Given Input numbers are 737, 759, 325, 498

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 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 737, 759, 325, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 737, 759, 325, 498 is 1.

Therefore, GCD of numbers 737, 759, 325, 498 is 1

Given Input Data is 737, 759, 325, 498

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

Prime Factorization of 737 is 11 x 67

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 498 is 2 x 3 x 83

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, 759) = 50853

GCD(737, 759) = ( 737 x 759 ) / 50853

GCD(737, 759) = 559383 / 50853

GCD(737, 759) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 325

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

LCM(11, 325) = 3575

GCD(11, 325) = ( 11 x 325 ) / 3575

GCD(11, 325) = 3575 / 3575

GCD(11, 325) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 737, 759, 325, 498 is 1

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1. What is the GCD of 737, 759, 325, 498?

GCD of 737, 759, 325, 498 is 1

2. Where do I get the detailed procedure to find GCD of 737, 759, 325, 498?

You can find a detailed procedure to find GCD of 737, 759, 325, 498 on our page.

3. How to find GCD of 737, 759, 325, 498 on a calculator?

You can find the GCD of 737, 759, 325, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.