GCD of 492, 697, 986, 737 Calculator

Given Input numbers are 492, 697, 986, 737

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 737

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

1, 11, 67, 737

Greatest Common Divisior

We found the divisors of 492, 697, 986, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 697, 986, 737 is 1.

Therefore, GCD of numbers 492, 697, 986, 737 is 1

Given Input Data is 492, 697, 986, 737

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 697 is 17 x 41

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 737 is 11 x 67

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(492, 697) = 8364

GCD(492, 697) = ( 492 x 697 ) / 8364

GCD(492, 697) = 342924 / 8364

GCD(492, 697) = 41

Step2:

Here we consider the GCD from the above i.e. 41 as first number and the next as 986

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

LCM(41, 986) = 40426

GCD(41, 986) = ( 41 x 986 ) / 40426

GCD(41, 986) = 40426 / 40426

GCD(41, 986) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 737

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

LCM(1, 737) = 737

GCD(1, 737) = ( 1 x 737 ) / 737

GCD(1, 737) = 737 / 737

GCD(1, 737) = 1

GCD of 492, 697, 986, 737 is 1

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• GCD of 221, 443, 748, 123
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• GCD of 279, 822, 400, 291

1. What is the GCD of 492, 697, 986, 737?

GCD of 492, 697, 986, 737 is 1

2. Where do I get the detailed procedure to find GCD of 492, 697, 986, 737?

You can find a detailed procedure to find GCD of 492, 697, 986, 737 on our page.

3. How to find GCD of 492, 697, 986, 737 on a calculator?

You can find the GCD of 492, 697, 986, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.