GCD of 718, 448, 171, 676 Calculator

Given Input numbers are 718, 448, 171, 676

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

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 718, 448, 171, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 448, 171, 676 is 1.

Therefore, GCD of numbers 718, 448, 171, 676 is 1

Given Input Data is 718, 448, 171, 676

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

Prime Factorization of 718 is 2 x 359

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 676 is 2 x 2 x 13 x 13

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(718, 448) = 160832

GCD(718, 448) = ( 718 x 448 ) / 160832

GCD(718, 448) = 321664 / 160832

GCD(718, 448) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 171

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

LCM(2, 171) = 342

GCD(2, 171) = ( 2 x 171 ) / 342

GCD(2, 171) = 342 / 342

GCD(2, 171) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 718, 448, 171, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 994, 128, 661
• GCD of 543, 654, 521, 889
• GCD of 725, 126, 104, 487
• GCD of 132, 701, 587, 609
• GCD of 884, 548, 651, 962

1. What is the GCD of 718, 448, 171, 676?

GCD of 718, 448, 171, 676 is 1

2. Where do I get the detailed procedure to find GCD of 718, 448, 171, 676?

You can find a detailed procedure to find GCD of 718, 448, 171, 676 on our page.

3. How to find GCD of 718, 448, 171, 676 on a calculator?

You can find the GCD of 718, 448, 171, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.