GCD of 736, 670, 145, 498 Calculator

Given Input numbers are 736, 670, 145, 498

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

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 736, 670, 145, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 670, 145, 498 is 1.

Therefore, GCD of numbers 736, 670, 145, 498 is 1

Given Input Data is 736, 670, 145, 498

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 145 is 5 x 29

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(736, 670) = 246560

GCD(736, 670) = ( 736 x 670 ) / 246560

GCD(736, 670) = 493120 / 246560

GCD(736, 670) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 145

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

LCM(2, 145) = 290

GCD(2, 145) = ( 2 x 145 ) / 290

GCD(2, 145) = 290 / 290

GCD(2, 145) = 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 736, 670, 145, 498 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 553, 500, 576, 700
• GCD of 311, 707, 593, 285
• GCD of 511, 113, 501, 829
• GCD of 119, 289, 271, 296
• GCD of 866, 709, 733, 411

1. What is the GCD of 736, 670, 145, 498?

GCD of 736, 670, 145, 498 is 1

2. Where do I get the detailed procedure to find GCD of 736, 670, 145, 498?

You can find a detailed procedure to find GCD of 736, 670, 145, 498 on our page.

3. How to find GCD of 736, 670, 145, 498 on a calculator?

You can find the GCD of 736, 670, 145, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.