GCD of 284, 692, 746, 499 Calculator

Given Input numbers are 284, 692, 746, 499

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Greatest Common Divisior

We found the divisors of 284, 692, 746, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 692, 746, 499 is 1.

Therefore, GCD of numbers 284, 692, 746, 499 is 1

Given Input Data is 284, 692, 746, 499

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 746 is 2 x 373

Prime Factorization of 499 is 499

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(284, 692) = 49132

GCD(284, 692) = ( 284 x 692 ) / 49132

GCD(284, 692) = 196528 / 49132

GCD(284, 692) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 746

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

LCM(4, 746) = 1492

GCD(4, 746) = ( 4 x 746 ) / 1492

GCD(4, 746) = 2984 / 1492

GCD(4, 746) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 499

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

LCM(2, 499) = 998

GCD(2, 499) = ( 2 x 499 ) / 998

GCD(2, 499) = 998 / 998

GCD(2, 499) = 1

GCD of 284, 692, 746, 499 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 269, 822, 652
• GCD of 540, 464, 599, 949
• GCD of 941, 895, 513, 730
• GCD of 216, 115, 249, 642
• GCD of 511, 399, 178, 475

1. What is the GCD of 284, 692, 746, 499?

GCD of 284, 692, 746, 499 is 1

2. Where do I get the detailed procedure to find GCD of 284, 692, 746, 499?

You can find a detailed procedure to find GCD of 284, 692, 746, 499 on our page.

3. How to find GCD of 284, 692, 746, 499 on a calculator?

You can find the GCD of 284, 692, 746, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.