GCD of 497, 714, 143, 176 Calculator

Given Input numbers are 497, 714, 143, 176

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Greatest Common Divisior

We found the divisors of 497, 714, 143, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 714, 143, 176 is 1.

Therefore, GCD of numbers 497, 714, 143, 176 is 1

Given Input Data is 497, 714, 143, 176

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 143 is 11 x 13

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

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(497, 714) = 50694

GCD(497, 714) = ( 497 x 714 ) / 50694

GCD(497, 714) = 354858 / 50694

GCD(497, 714) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 143

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

LCM(7, 143) = 1001

GCD(7, 143) = ( 7 x 143 ) / 1001

GCD(7, 143) = 1001 / 1001

GCD(7, 143) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 176

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

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

GCD(1, 176) = 176 / 176

GCD(1, 176) = 1

GCD of 497, 714, 143, 176 is 1

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1. What is the GCD of 497, 714, 143, 176?

GCD of 497, 714, 143, 176 is 1

2. Where do I get the detailed procedure to find GCD of 497, 714, 143, 176?

You can find a detailed procedure to find GCD of 497, 714, 143, 176 on our page.

3. How to find GCD of 497, 714, 143, 176 on a calculator?

You can find the GCD of 497, 714, 143, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.